3682075680 has 72 divisors (see below), whose sum is σ = 12565088172. Its totient is φ = 981886464.

The previous prime is 3682075673. The next prime is 3682075697. The reversal of 3682075680 is 865702863.

3682075680 is a `hidden beast` number, since 3 + 6 + 82 + 0 + 7 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3332983824 + 349091856 = 57732^2 + 18684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1277059 + ... + 1279938.

Almost surely, 2^3682075680 is an apocalyptic number.

3682075680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3682075680 is an abundant number, since it is smaller than the sum of its proper divisors (8883012492).

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

3682075680 is a wasteful number, since it uses less digits than its factorization.

3682075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557018 (or 2557007 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3682075680 is about 60680.1094264010. The cubic root of 3682075680 is about 1544.1787447319.

The spelling of 3682075680 in words is "three billion, six hundred eighty-two million, seventy-five thousand, six hundred eighty".