3672306880 has 112 divisors (see below), whose sum is σ = 9559503360. Its totient is φ = 1332608000.

The previous prime is 3672306817. The next prime is 3672306881. The reversal of 3672306880 is 886032763.

3672306880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3672306881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2530155 + ... + 2531605.

Almost surely, 2^3672306880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779751680).

3672306880 is an abundant number, since it is smaller than the sum of its proper divisors (5887196480).

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

3672306880 is a wasteful number, since it uses less digits than its factorization.

3672306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 3672306880 is about 60599.5617145867. The cubic root of 3672306880 is about 1542.8119311332.

The spelling of 3672306880 in words is "three billion, six hundred seventy-two million, three hundred six thousand, eight hundred eighty".