3907128960 has 768 divisors, whose sum is σ = 16591760640. Its totient is φ = 859963392.

The previous prime is 3907128949. The next prime is 3907128961. The reversal of 3907128960 is 698217093.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3907128961) 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, 40279632 + ... + 40279728.

It is an arithmetic number, because the mean of its divisors is an integer number (21603855).

Almost surely, 2^3907128960 is an apocalyptic number.

3907128960 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 3907128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295880320).

3907128960 is an abundant number, since it is smaller than the sum of its proper divisors (12684631680).

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

3907128960 is an equidigital number, since it uses as much as digits as its factorization.

3907128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 3907128960 is about 62507.0312844883. The cubic root of 3907128960 is about 1575.0194283318.

The spelling of 3907128960 in words is "three billion, nine hundred seven million, one hundred twenty-eight thousand, nine hundred sixty".