3612031680 has 224 divisors, whose sum is σ = 11756989440. Its totient is φ = 939294720.

The previous prime is 3612031679. The next prime is 3612031699. The reversal of 3612031680 is 861302163.

3612031680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7356235 + ... + 7356725.

It is an arithmetic number, because the mean of its divisors is an integer number (52486560).

Almost surely, 2^3612031680 is an apocalyptic number.

3612031680 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 3612031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878494720).

3612031680 is an abundant number, since it is smaller than the sum of its proper divisors (8144957760).

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

3612031680 is a wasteful number, since it uses less digits than its factorization.

3612031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3612031680 is about 60100.1803657859. The cubic root of 3612031680 is about 1534.3243717171.

The spelling of 3612031680 in words is "three billion, six hundred twelve million, thirty-one thousand, six hundred eighty".