3921204456 has 96 divisors (see below), whose sum is σ = 11519508000. Its totient is φ = 1197804672.

The previous prime is 3921204451. The next prime is 3921204461. The reversal of 3921204456 is 6544021293.

It is a happy number.

3921204456 is a `hidden beast` number, since 3 + 92 + 120 + 445 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3921204451) and next prime (3921204461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3921204456.

It is not an unprimeable number, because it can be changed into a prime (3921204451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115035 + ... + 145173.

It is an arithmetic number, because the mean of its divisors is an integer number (119994875).

Almost surely, 2^3921204456 is an apocalyptic number.

3921204456 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 3921204456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759754000).

3921204456 is an abundant number, since it is smaller than the sum of its proper divisors (7598303544).

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

3921204456 is a wasteful number, since it uses less digits than its factorization.

3921204456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30303 (or 30296 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3921204456 is about 62619.5213651462. The cubic root of 3921204456 is about 1576.9085060861.

The spelling of 3921204456 in words is "three billion, nine hundred twenty-one million, two hundred four thousand, four hundred fifty-six".