3974640897024 has 880 divisors, whose sum is σ = 14163337108800. Its totient is φ = 1086229315584.

The previous prime is 3974640896969. The next prime is 3974640897067. The reversal of 3974640897024 is 4207980464793.

3974640897024 is a `hidden beast` number, since 3 + 9 + 7 + 464 + 0 + 89 + 70 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1902651372 + ... + 1902653460.

It is an arithmetic number, because the mean of its divisors is an integer number (16094701260).

Almost surely, 2^{3974640897024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3974640897024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081668554400).

3974640897024 is an abundant number, since it is smaller than the sum of its proper divisors (10188696211776).

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

3974640897024 is a wasteful number, since it uses less digits than its factorization.

3974640897024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3974640897024 in words is "three trillion, nine hundred seventy-four billion, six hundred forty million, eight hundred ninety-seven thousand, twenty-four".