3632670720 has 384 divisors, whose sum is σ = 14765587200. Its totient is φ = 829882368.

The previous prime is 3632670709. The next prime is 3632670733. The reversal of 3632670720 is 270762363.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 1934422 + ... + 1936298.

It is an arithmetic number, because the mean of its divisors is an integer number (38452050).

Almost surely, 2^3632670720 is an apocalyptic number.

3632670720 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 3632670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382793600).

3632670720 is an abundant number, since it is smaller than the sum of its proper divisors (11132916480).

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

3632670720 is a wasteful number, since it uses less digits than its factorization.

3632670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 3632670720 is about 60271.6410926399. The cubic root of 3632670720 is about 1537.2411842752.

The spelling of 3632670720 in words is "three billion, six hundred thirty-two million, six hundred seventy thousand, seven hundred twenty".