3922941456 has 280 divisors, whose sum is σ = 13596570240. Its totient is φ = 1071595008.

The previous prime is 3922941413. The next prime is 3922941467. The reversal of 3922941456 is 6541492293.

3922941456 is a `hidden beast` number, since 3 + 9 + 229 + 414 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1876860 + ... + 1878948.

Almost surely, 2^3922941456 is an apocalyptic number.

3922941456 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 3922941456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798285120).

3922941456 is an abundant number, since it is smaller than the sum of its proper divisors (9673628784).

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

3922941456 is a wasteful number, since it uses less digits than its factorization.

3922941456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2124 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 3922941456 is about 62633.3893063436. The cubic root of 3922941456 is about 1577.1413159923.

The spelling of 3922941456 in words is "three billion, nine hundred twenty-two million, nine hundred forty-one thousand, four hundred fifty-six".