3921256483200 has 1536 divisors, whose sum is σ = 17074800000000. Its totient is φ = 859857223680.

The previous prime is 3921256483181. The next prime is 3921256483213. The reversal of 3921256483200 is 23846521293.

3921256483200 is a `hidden beast` number, since 3 + 9 + 2 + 1 + 2 + 564 + 83 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3139516176 + ... + 3139517424.

It is an arithmetic number, because the mean of its divisors is an integer number (11116406250).

Almost surely, 2^{3921256483200} is an apocalyptic number.

3921256483200 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 3921256483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537400000000).

3921256483200 is an abundant number, since it is smaller than the sum of its proper divisors (13153543516800).

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

3921256483200 is a wasteful number, since it uses less digits than its factorization.

3921256483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3921256483200 in words is "three trillion, nine hundred twenty-one billion, two hundred fifty-six million, four hundred eighty-three thousand, two hundred".