3922790400 has 216 divisors, whose sum is σ = 14050526490. Its totient is φ = 1045954560.

The previous prime is 3922790393. The next prime is 3922790429. The reversal of 3922790400 is 40972293.

It can be written as a sum of positive squares in 3 ways, for example, as 3739567104 + 183223296 = 61152^2 + 13536^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 456544 + ... + 465056.

Almost surely, 2^3922790400 is an apocalyptic number.

3922790400 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 3922790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025263245).

3922790400 is an abundant number, since it is smaller than the sum of its proper divisors (10127736090).

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

3922790400 is a wasteful number, since it uses less digits than its factorization.

3922790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8551 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3922790400 is about 62632.1834203471. The cubic root of 3922790400 is about 1577.1210727030.

The spelling of 3922790400 in words is "three billion, nine hundred twenty-two million, seven hundred ninety thousand, four hundred".