3978936898560 has 2112 divisors, whose sum is σ = 16899049440000. Its totient is φ = 888246632448.

The previous prime is 3978936898493. The next prime is 3978936898561. The reversal of 3978936898560 is 658986398793.

3978936898560 is a `hidden beast` number, since 3 + 97 + 89 + 368 + 98 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 3978936898560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978936898561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7973821191 + ... + 7973821689.

Almost surely, 2^{3978936898560} is an apocalyptic number.

3978936898560 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 3978936898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449524720000).

3978936898560 is an abundant number, since it is smaller than the sum of its proper divisors (12920112541440).

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

3978936898560 is a wasteful number, since it uses less digits than its factorization.

3978936898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 3978936898560 in words is "three trillion, nine hundred seventy-eight billion, nine hundred thirty-six million, eight hundred ninety-eight thousand, five hundred sixty".