3715764480 has 108 divisors (see below), whose sum is σ = 12856197900. Its totient is φ = 990867456.

The previous prime is 3715764473. The next prime is 3715764509. The reversal of 3715764480 is 844675173.

3715764480 is a `hidden beast` number, since 3 + 71 + 576 + 4 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 420086016 + 3295678464 = 20496^2 + 57408^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149755 + ... + 172794.

Almost surely, 2^3715764480 is an apocalyptic number.

3715764480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3715764480 is an abundant number, since it is smaller than the sum of its proper divisors (9140433420).

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

3715764480 is a wasteful number, since it uses less digits than its factorization.

3715764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322576 (or 322559 counting only the distinct ones).

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

The square root of 3715764480 is about 60957.0707957658. The cubic root of 3715764480 is about 1548.8738931232.

The spelling of 3715764480 in words is "three billion, seven hundred fifteen million, seven hundred sixty-four thousand, four hundred eighty".