3791536128 has 150 divisors (see below), whose sum is σ = 11331418406. Its totient is φ = 1263403008.

The previous prime is 3791536109. The next prime is 3791536139. The reversal of 3791536128 is 8216351973.

3791536128 is a `hidden beast` number, since 3 + 7 + 91 + 536 + 1 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3451797504 + 339738624 = 58752^2 + 18432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1325676 + ... + 1328532.

Almost surely, 2^3791536128 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 3791536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665709203).

3791536128 is an abundant number, since it is smaller than the sum of its proper divisors (7539882278).

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

3791536128 is an frugal number, since it uses more digits than its factorization.

3791536128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2862 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 3791536128 is about 61575.4506926259. The cubic root of 3791536128 is about 1559.3313110427.

The spelling of 3791536128 in words is "three billion, seven hundred ninety-one million, five hundred thirty-six thousand, one hundred twenty-eight".