3690940320 has 72 divisors (see below), whose sum is σ = 12595338756. Its totient is φ = 984250368.

The previous prime is 3690940301. The next prime is 3690940333. The reversal of 3690940320 is 230490963.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3670905744 + 20034576 = 60588^2 + 4476^2 .

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 (36).

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, 1280137 + ... + 1283016.

Almost surely, 2^3690940320 is an apocalyptic number.

3690940320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3690940320 is an abundant number, since it is smaller than the sum of its proper divisors (8904398436).

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

3690940320 is a wasteful number, since it uses less digits than its factorization.

3690940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563174 (or 2563163 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3690940320 is about 60753.1095500469. The cubic root of 3690940320 is about 1545.4169610153.

The spelling of 3690940320 in words is "three billion, six hundred ninety million, nine hundred forty thousand, three hundred twenty".