3360631680 has 640 divisors, whose sum is σ = 14056538400. Its totient is φ = 768144384.

The previous prime is 3360631667. The next prime is 3360631691. The reversal of 3360631680 is 861360633.

3360631680 is a `hidden beast` number, since 33 + 606 + 3 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3360631680² = 22587690577239244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 480090237 + ... + 480090243.

Almost surely, 2^3360631680 is an apocalyptic number.

3360631680 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 3360631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028269200).

3360631680 is an abundant number, since it is smaller than the sum of its proper divisors (10695906720).

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

3360631680 is an frugal number, since it uses more digits than its factorization.

3360631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3360631680 is about 57970.9554863468. The cubic root of 3360631680 is about 1497.8683320963.

The spelling of 3360631680 in words is "three billion, three hundred sixty million, six hundred thirty-one thousand, six hundred eighty".