3672124980 has 96 divisors (see below), whose sum is σ = 10422276480. Its totient is φ = 965952000.

The previous prime is 3672124979. The next prime is 3672124999. The reversal of 3672124980 is 894212763.

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 a congruent number.

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, 1640422 + ... + 1642658.

It is an arithmetic number, because the mean of its divisors is an integer number (108565380).

Almost surely, 2^3672124980 is an apocalyptic number.

3672124980 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 3672124980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211138240).

3672124980 is an abundant number, since it is smaller than the sum of its proper divisors (6750151500).

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

3672124980 is a wasteful number, since it uses less digits than its factorization.

3672124980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3672124980 is about 60598.0608600638. The cubic root of 3672124980 is about 1542.7864573975.

The spelling of 3672124980 in words is "three billion, six hundred seventy-two million, one hundred twenty-four thousand, nine hundred eighty".