3790618624 has 135 divisors (see below), whose sum is σ = 8436879927. Its totient is φ = 1702232064.

The previous prime is 3790618621. The next prime is 3790618679. The reversal of 3790618624 is 4268160973.

The square root of 3790618624 is 61568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15745024 + 3774873600 = 3968^2 + 61440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3790618621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102449134 + ... + 102449170.

Almost surely, 2^3790618624 is an apocalyptic number.

3790618624 is the 61568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3790618624

3790618624 is an abundant number, since it is smaller than the sum of its proper divisors (4646261303).

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

3790618624 is an frugal number, since it uses more digits than its factorization.

3790618624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The cubic root of 3790618624 is about 1559.2055213816.

The spelling of 3790618624 in words is "three billion, seven hundred ninety million, six hundred eighteen thousand, six hundred twenty-four".