3922141344 has 192 divisors, whose sum is σ = 11598878592. Its totient is φ = 1150156800.

The previous prime is 3922141331. The next prime is 3922141387. The reversal of 3922141344 is 4431412293.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6797184 + ... + 6797760.

It is an arithmetic number, because the mean of its divisors is an integer number (60410826).

Almost surely, 2^3922141344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3922141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799439296).

3922141344 is an abundant number, since it is smaller than the sum of its proper divisors (7676737248).

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

3922141344 is a wasteful number, since it uses less digits than its factorization.

3922141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3922141344 is about 62627.0017165120. The cubic root of 3922141344 is about 1577.0340856137.

The spelling of 3922141344 in words is "three billion, nine hundred twenty-two million, one hundred forty-one thousand, three hundred forty-four".