3928657982400 has 1176 divisors, whose sum is σ = 14999303670624. Its totient is φ = 1011651379200.

The previous prime is 3928657982399. The next prime is 3928657982401. The reversal of 3928657982400 is 42897568293.

3928657982400 is a `hidden beast` number, since 3 + 9 + 2 + 86 + 5 + 79 + 82 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3928657982399) and next prime (3928657982401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928657982401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5403930837 + ... + 5403931563.

It is an arithmetic number, because the mean of its divisors is an integer number (12754509924).

Almost surely, 2^{3928657982400} is an apocalyptic number.

3928657982400 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 3928657982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499651835312).

3928657982400 is an abundant number, since it is smaller than the sum of its proper divisors (11070645688224).

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

3928657982400 is a wasteful number, since it uses less digits than its factorization.

3928657982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3928657982400 in words is "three trillion, nine hundred twenty-eight billion, six hundred fifty-seven million, nine hundred eighty-two thousand, four hundred".