3672559680 has 112 divisors (see below), whose sum is σ = 11780885760. Its totient is φ = 969228288.

The previous prime is 3672559673. The next prime is 3672559697. The reversal of 3672559680 is 869552763.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73401 + ... + 112839.

It is an arithmetic number, because the mean of its divisors is an integer number (105186480).

Almost surely, 2^3672559680 is an apocalyptic number.

3672559680 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 3672559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890442880).

3672559680 is an abundant number, since it is smaller than the sum of its proper divisors (8108326080).

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

3672559680 is a wasteful number, since it uses less digits than its factorization.

3672559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39556 (or 39546 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 3672559680 is about 60601.6475023576. The cubic root of 3672559680 is about 1542.8473324871.

The spelling of 3672559680 in words is "three billion, six hundred seventy-two million, five hundred fifty-nine thousand, six hundred eighty".