3972080 has 80 divisors (see below), whose sum is σ = 10874304. Its totient is φ = 1320960.

The previous prime is 3972071. The next prime is 3972091. The reversal of 3972080 is 802793.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22874 + ... + 23046.

Almost surely, 2^3972080 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 3972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437152).

3972080 is an abundant number, since it is smaller than the sum of its proper divisors (6902224).

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

3972080 is a wasteful number, since it uses less digits than its factorization.

3972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 3972080 is about 1993.0077772051. The cubic root of 3972080 is about 158.3699072174.

The spelling of 3972080 in words is "three million, nine hundred seventy-two thousand, eighty".