3924216248256 has 280 divisors, whose sum is σ = 12146245222320. Its totient is φ = 1251157598208.

The previous prime is 3924216248209. The next prime is 3924216248279. The reversal of 3924216248256 is 6528426124293.

3924216248256 is a `hidden beast` number, since 3 + 9 + 2 + 4 + 2 + 1 + 624 + 8 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15963976 + ... + 16207928.

Almost surely, 2^{3924216248256} is an apocalyptic number.

3924216248256 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 3924216248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073122611160).

3924216248256 is an abundant number, since it is smaller than the sum of its proper divisors (8222028974064).

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

3924216248256 is a wasteful number, since it uses less digits than its factorization.

3924216248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244113 (or 244094 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 3924216248256 in words is "three trillion, nine hundred twenty-four billion, two hundred sixteen million, two hundred forty-eight thousand, two hundred fifty-six".