3972960 has 144 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1013760.

The previous prime is 3972959. The next prime is 3972973. The reversal of 3972960 is 692793.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3972960² = 31568822323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44596 + ... + 44684.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^3972960 is an apocalyptic number.

3972960 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 3972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

3972960 is an abundant number, since it is smaller than the sum of its proper divisors (10179360).

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

3972960 is a wasteful number, since it uses less digits than its factorization.

3972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3972960 is about 1993.2285368216. The cubic root of 3972960 is about 158.3816017811.

The spelling of 3972960 in words is "three million, nine hundred seventy-two thousand, nine hundred sixty".