3974918650560 has 1008 divisors, whose sum is σ = 16783891601568. Its totient is φ = 889464913920.

The previous prime is 3974918650553. The next prime is 3974918650561. The reversal of 3974918650560 is 650568194793.

3974918650560 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 9 + 1 + 8 + 65 + 0 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (3974918650561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122300232 + ... + 122332728.

Almost surely, 2^{3974918650560} is an apocalyptic number.

3974918650560 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 3974918650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391945800784).

3974918650560 is an abundant number, since it is smaller than the sum of its proper divisors (12808972951008).

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

3974918650560 is a wasteful number, since it uses less digits than its factorization.

3974918650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32564 (or 32531 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 3974918650560 in words is "three trillion, nine hundred seventy-four billion, nine hundred eighteen million, six hundred fifty thousand, five hundred sixty".