3712032 has 36 divisors (see below), whose sum is σ = 10556910. Its totient is φ = 1237248.

The previous prime is 3712021. The next prime is 3712043. The reversal of 3712032 is 2302173.

It is an interprime number because it is at equal distance from previous prime (3712021) and next prime (3712043).

It can be written as a sum of positive squares in only one way, i.e., 2944656 + 767376 = 1716^2 + 876^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3711996 and 3712014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6157 + ... + 6732.

Almost surely, 2^3712032 is an apocalyptic number.

3712032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3712032 is an abundant number, since it is smaller than the sum of its proper divisors (6844878).

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

3712032 is a wasteful number, since it uses less digits than its factorization.

3712032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12905 (or 12894 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3712032 is about 1926.6634371369. The cubic root of 3712032 is about 154.8355105522.

The spelling of 3712032 in words is "three million, seven hundred twelve thousand, thirty-two".