3646431360 has 768 divisors, whose sum is σ = 15638313600. Its totient is φ = 769720320.

The previous prime is 3646431353. The next prime is 3646431401. The reversal of 3646431360 is 631346463.

3646431360 is a `hidden beast` number, since 3 + 6 + 4 + 643 + 1 + 3 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 15649804 + ... + 15650036.

Almost surely, 2^3646431360 is an apocalyptic number.

3646431360 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 3646431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800).

3646431360 is an abundant number, since it is smaller than the sum of its proper divisors (11991882240).

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

3646431360 is a wasteful number, since it uses less digits than its factorization.

3646431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3646431360 is about 60385.6883706727. The cubic root of 3646431360 is about 1539.1797734788.

The spelling of 3646431360 in words is "three billion, six hundred forty-six million, four hundred thirty-one thousand, three hundred sixty".