3780115839504 has 225 divisors, whose sum is σ = 11162030009053. Its totient is φ = 1235051086464.

The previous prime is 3780115839497. The next prime is 3780115839527. The reversal of 3780115839504 is 4059385110873.

The square root of 3780115839504 is 1944252.

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

3780115839504 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 1 + 1 + 583 + 9 + 50 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2725074608400 + 1055041231104 = 1650780^2 + 1027152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3709632307 + ... + 3709633325.

Almost surely, 2^{3780115839504} is an apocalyptic number.

3780115839504 is the 1944252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780115839504

3780115839504 is an abundant number, since it is smaller than the sum of its proper divisors (7381914169549).

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

3780115839504 is an frugal number, since it uses more digits than its factorization.

3780115839504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 3780115839504 in words is "three trillion, seven hundred eighty billion, one hundred fifteen million, eight hundred thirty-nine thousand, five hundred four".