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3740425920 = 26325711101167
BaseRepresentation
bin1101111011110010…
…0101111011000000
3100122200021022202100
43132330211323000
530130022112140
61415054150400
7161456044560
oct33674457300
910580238670
103740425920
11164a4113a0
128847b2400
13477c0929a
14276aa4da0
1516d59e530
hexdef25ec0

3740425920 has 672 divisors, whose sum is σ = 16295924736. Its totient is φ = 764928000.

The previous prime is 3740425883. The next prime is 3740425939. The reversal of 3740425920 is 295240473.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22397677 + ... + 22397843.

It is an arithmetic number, because the mean of its divisors is an integer number (24249888).

Almost surely, 23740425920 is an apocalyptic number.

3740425920 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 3740425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147962368).

3740425920 is an abundant number, since it is smaller than the sum of its proper divisors (12555498816).

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

3740425920 is a wasteful number, since it uses less digits than its factorization.

3740425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3740425920 is about 61159.0215749075. The cubic root of 3740425920 is about 1552.2929531662.

The spelling of 3740425920 in words is "three billion, seven hundred forty million, four hundred twenty-five thousand, nine hundred twenty".