3929725440 has 480 divisors, whose sum is σ = 14707630080. Its totient is φ = 966131712.

The previous prime is 3929725433. The next prime is 3929725453. The reversal of 3929725440 is 445279293.

3929725440 is a `hidden beast` number, since 39 + 2 + 9 + 72 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30942657 + ... + 30942783.

It is an arithmetic number, because the mean of its divisors is an integer number (30640896).

Almost surely, 2^3929725440 is an apocalyptic number.

3929725440 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 3929725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353815040).

3929725440 is an abundant number, since it is smaller than the sum of its proper divisors (10777904640).

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

3929725440 is a wasteful number, since it uses less digits than its factorization.

3929725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3929725440 is about 62687.5222033859. The cubic root of 3929725440 is about 1578.0499148095.

The spelling of 3929725440 in words is "three billion, nine hundred twenty-nine million, seven hundred twenty-five thousand, four hundred forty".