3997152 has 36 divisors (see below), whose sum is σ = 11367720. Its totient is φ = 1332288.

The previous prime is 3997141. The next prime is 3997181. The reversal of 3997152 is 2517993.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3997152² = 31954448222208, 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 5 ways as a sum of consecutive naturals, for example, 6652 + ... + 7227.

It is an arithmetic number, because the mean of its divisors is an integer number (315770).

Almost surely, 2^3997152 is an apocalyptic number.

3997152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3997152 is an abundant number, since it is smaller than the sum of its proper divisors (7370568).

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

3997152 is a wasteful number, since it uses less digits than its factorization.

3997152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13895 (or 13884 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 3997152 is about 1999.2878732189. The cubic root of 3997152 is about 158.7024219336.

The spelling of 3997152 in words is "three million, nine hundred ninety-seven thousand, one hundred fifty-two".