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3925471680 = 263351334949
BaseRepresentation
bin1110100111111001…
…1111000111000000
3101010120110121211000
43221332133013000
531014410043210
61445304252000
7166163646564
oct35176370700
911116417730
103925471680
11173490aa79
12916771000
134a7358a10
142934b36a4
1517e952ac0
hexe9f9f1c0

3925471680 has 224 divisors, whose sum is σ = 14913864000. Its totient is φ = 966242304.

The previous prime is 3925471679. The next prime is 3925471699. The reversal of 3925471680 is 861745293.

3925471680 is a `hidden beast` number, since 3 + 92 + 547 + 16 + 8 + 0 = 666.

3925471680 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

3925471680 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94846 + ... + 129794.

It is an arithmetic number, because the mean of its divisors is an integer number (66579750).

It is a 1-persistent number, because it is pandigital, but 2⋅3925471680 = 7850943360 is not.

Almost surely, 23925471680 is an apocalyptic number.

3925471680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3925471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7456932000).

3925471680 is an abundant number, since it is smaller than the sum of its proper divisors (10988392320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3925471680 is a wasteful number, since it uses less digits than its factorization.

3925471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34988 (or 34972 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3925471680 is about 62653.5847338363. The cubic root of 3925471680 is about 1577.4803186874.

The spelling of 3925471680 in words is "three billion, nine hundred twenty-five million, four hundred seventy-one thousand, six hundred eighty".