3790937503089 has 135 divisors (see below), whose sum is σ = 6336406177563. Its totient is φ = 2257000653600.

The previous prime is 3790937503057. The next prime is 3790937503097. The reversal of 3790937503089 is 9803057390973.

The square root of 3790937503089 is 1947033.

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

3790937503089 is a `hidden beast` number, since 3 + 7 + 90 + 9 + 37 + 503 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 653405472225 + 3137532030864 = 808335^2 + 1771308^2 .

It is not a de Polignac number, because 3790937503089 - 2⁵ = 3790937503057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3790937503049) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13685694819 + ... + 13685695095.

Almost surely, 2^{3790937503089} is an apocalyptic number.

3790937503089 is the 1947033-rd square number.

3790937503089 is the 973517-th centered octagonal number.

It is an amenable number.

3790937503089 is a deficient number, since it is larger than the sum of its proper divisors (2545468674474).

3790937503089 is an frugal number, since it uses more digits than its factorization.

3790937503089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 3790937503089 in words is "three trillion, seven hundred ninety billion, nine hundred thirty-seven million, five hundred three thousand, eighty-nine".