3983457574656 has 540 divisors, whose sum is σ = 14544498710280. Its totient is φ = 1078223892480.

The previous prime is 3983457574643. The next prime is 3983457574669. The reversal of 3983457574656 is 6564757543893.

It is a happy number.

3983457574656 is a `hidden beast` number, since 3 + 9 + 8 + 3 + 4 + 575 + 7 + 46 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3983457574643) and next prime (3983457574669).

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 59 ways as a sum of consecutive naturals, for example, 19202046 + ... + 19408386.

Almost surely, 2^{3983457574656} is an apocalyptic number.

3983457574656 is a gapful number since it is divisible by the number (36) 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 3983457574656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272249355140).

3983457574656 is an abundant number, since it is smaller than the sum of its proper divisors (10561041135624).

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

3983457574656 is a wasteful number, since it uses less digits than its factorization.

3983457574656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206402 (or 206372 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 72.

The spelling of 3983457574656 in words is "three trillion, nine hundred eighty-three billion, four hundred fifty-seven million, five hundred seventy-four thousand, six hundred fifty-six".