3827175264 has 96 divisors (see below), whose sum is σ = 12177406080. Its totient is φ = 1159747200.

The previous prime is 3827175257. The next prime is 3827175271. The reversal of 3827175264 is 4625717283.

3827175264 is a `hidden beast` number, since 382 + 7 + 1 + 7 + 5 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (3827175257) and next prime (3827175271).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191842 + ... + 210849.

It is an arithmetic number, because the mean of its divisors is an integer number (126847980).

Almost surely, 2^3827175264 is an apocalyptic number.

It is an amenable number.

3827175264 is an abundant number, since it is smaller than the sum of its proper divisors (8350230816).

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

3827175264 is a wasteful number, since it uses less digits than its factorization.

3827175264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402721 (or 402707 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3827175264 is about 61864.1678518349. The cubic root of 3827175264 is about 1564.2018085011.

The spelling of 3827175264 in words is "three billion, eight hundred twenty-seven million, one hundred seventy-five thousand, two hundred sixty-four".