3693165840 has 400 divisors, whose sum is σ = 15789489408. Its totient is φ = 779092992.

The previous prime is 3693165809. The next prime is 3693165881. The reversal of 3693165840 is 485613963.

3693165840 is a `hidden beast` number, since 3 + 69 + 3 + 1 + 6 + 584 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 586549 + ... + 592811.

Almost surely, 2^3693165840 is an apocalyptic number.

3693165840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3693165840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894744704).

3693165840 is an abundant number, since it is smaller than the sum of its proper divisors (12096323568).

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

3693165840 is a wasteful number, since it uses less digits than its factorization.

3693165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3693165840 is about 60771.4228893812. The cubic root of 3693165840 is about 1545.7275110842.

The spelling of 3693165840 in words is "three billion, six hundred ninety-three million, one hundred sixty-five thousand, eight hundred forty".