3827596960 has 48 divisors (see below), whose sum is σ = 9864765792. Its totient is φ = 1391852800.

The previous prime is 3827596921. The next prime is 3827596961. The reversal of 3827596960 is 696957283.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (3827596961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085626 + ... + 1089145.

It is an arithmetic number, because the mean of its divisors is an integer number (205515954).

Almost surely, 2^3827596960 is an apocalyptic number.

It is an amenable number.

3827596960 is an abundant number, since it is smaller than the sum of its proper divisors (6037168832).

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

3827596960 is a wasteful number, since it uses less digits than its factorization.

3827596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174797 (or 2174789 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The square root of 3827596960 is about 61867.5759990643. The cubic root of 3827596960 is about 1564.2592567387.

The spelling of 3827596960 in words is "three billion, eight hundred twenty-seven million, five hundred ninety-six thousand, nine hundred sixty".