3682326960 has 320 divisors, whose sum is σ = 13859112960. Its totient is φ = 893168640.

The previous prime is 3682326943. The next prime is 3682327003. The reversal of 3682326960 is 696232863.

3682326960 is a `hidden beast` number, since 368 + 23 + 269 + 6 + 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1992757 + ... + 1994603.

It is an arithmetic number, because the mean of its divisors is an integer number (43309728).

Almost surely, 2^3682326960 is an apocalyptic number.

3682326960 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 3682326960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929556480).

3682326960 is an abundant number, since it is smaller than the sum of its proper divisors (10176786000).

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

3682326960 is a wasteful number, since it uses less digits than its factorization.

3682326960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3682326960 is about 60682.1799212916. The cubic root of 3682326960 is about 1544.2138709707.

The spelling of 3682326960 in words is "three billion, six hundred eighty-two million, three hundred twenty-six thousand, nine hundred sixty".