3921514560 has 672 divisors, whose sum is σ = 15177576960. Its totient is φ = 961486848.

The previous prime is 3921514543. The next prime is 3921514561. The reversal of 3921514560 is 654151293.

3921514560 is a `hidden beast` number, since 3 + 92 + 1 + 5 + 1 + 4 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3921514561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83436457 + ... + 83436503.

It is an arithmetic number, because the mean of its divisors is an integer number (22585680).

Almost surely, 2^3921514560 is an apocalyptic number.

3921514560 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 3921514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588788480).

3921514560 is an abundant number, since it is smaller than the sum of its proper divisors (11256062400).

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

3921514560 is a wasteful number, since it uses less digits than its factorization.

3921514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3921514560 is about 62621.9974130497. The cubic root of 3921514560 is about 1576.9500743297.

The spelling of 3921514560 in words is "three billion, nine hundred twenty-one million, five hundred fourteen thousand, five hundred sixty".