3631983360 has 576 divisors, whose sum is σ = 13351080960. Its totient is φ = 836239360.

The previous prime is 3631983359. The next prime is 3631983379. The reversal of 3631983360 is 633891363.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 61559011 + ... + 61559069.

It is an arithmetic number, because the mean of its divisors is an integer number (23178960).

Almost surely, 2^3631983360 is an apocalyptic number.

3631983360 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 3631983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675540480).

3631983360 is an abundant number, since it is smaller than the sum of its proper divisors (9719097600).

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

3631983360 is a wasteful number, since it uses less digits than its factorization.

3631983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 3631983360 is about 60265.9386386705. The cubic root of 3631983360 is about 1537.1442212019.

The spelling of 3631983360 in words is "three billion, six hundred thirty-one million, nine hundred eighty-three thousand, three hundred sixty".