3971520 has 168 divisors, whose sum is σ = 15691104. Its totient is φ = 903168.

The previous prime is 3971501. The next prime is 3971531. The reversal of 3971520 is 251793.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3971520² = 31545942220800, which contains 22 as substring.

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, 20062 + ... + 20258.

Almost surely, 2^3971520 is an apocalyptic number.

3971520 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 3971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845552).

3971520 is an abundant number, since it is smaller than the sum of its proper divisors (11719584).

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

3971520 is a wasteful number, since it uses less digits than its factorization.

3971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3971520 is about 1992.8672810802. The cubic root of 3971520 is about 158.3624643230.

The spelling of 3971520 in words is "three million, nine hundred seventy-one thousand, five hundred twenty".