3974936623488 has 640 divisors, whose sum is σ = 12779124019200. Its totient is φ = 1222904770560.

The previous prime is 3974936623429. The next prime is 3974936623529. The reversal of 3974936623488 is 8843266394793.

3974936623488 is a `hidden beast` number, since 3 + 97 + 4 + 9 + 36 + 6 + 23 + 488 = 666.

It is a super-2 number, since 2×3974936623488² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 3718368618 + ... + 3718369686.

It is an arithmetic number, because the mean of its divisors is an integer number (19967381280).

Almost surely, 2^{3974936623488} 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 3974936623488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389562009600).

3974936623488 is an abundant number, since it is smaller than the sum of its proper divisors (8804187395712).

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

3974936623488 is a wasteful number, since it uses less digits than its factorization.

3974936623488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1631 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 3974936623488 in words is "three trillion, nine hundred seventy-four billion, nine hundred thirty-six million, six hundred twenty-three thousand, four hundred eighty-eight".