3972180 has 48 divisors (see below), whose sum is σ = 11208960. Its totient is φ = 1051008.

The previous prime is 3972173. The next prime is 3972181. The reversal of 3972180 is 812793.

It is a happy number.

3972180 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14202 + ... + 14478.

It is an arithmetic number, because the mean of its divisors is an integer number (233520).

Almost surely, 2^3972180 is an apocalyptic number.

3972180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3972180 is an abundant number, since it is smaller than the sum of its proper divisors (7236780).

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

3972180 is a wasteful number, since it uses less digits than its factorization.

3972180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3972180 is about 1993.0328647566. The cubic root of 3972180 is about 158.3712362321.

The spelling of 3972180 in words is "three million, nine hundred seventy-two thousand, one hundred eighty".