3132864 has 168 divisors, whose sum is σ = 11003280. Its totient is φ = 870912.

The previous prime is 3132859. The next prime is 3132881. The reversal of 3132864 is 4682313.

3132864 = 4³ + 5³ + ... + 59³.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3456) is a multiple of the sum of its prime factors (72).

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, 84654 + ... + 84690.

Almost surely, 2^3132864 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 3132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501640).

3132864 is an abundant number, since it is smaller than the sum of its proper divisors (7870416).

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

3132864 is a wasteful number, since it uses less digits than its factorization.

3132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3132864 is about 1769.9898304793. The cubic root of 3132864 is about 146.3234213855.

The spelling of 3132864 in words is "three million, one hundred thirty-two thousand, eight hundred sixty-four".