3287737152 has 84 divisors (see below), whose sum is σ = 10769961696. Its totient is φ = 939352320.

The previous prime is 3287737133. The next prime is 3287737241. The reversal of 3287737152 is 2517377823.

It is a happy number.

3287737152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×3287737152² = 21618431161282142208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3287737098 and 3287737107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403674 + ... + 411737.

Almost surely, 2^3287737152 is an apocalyptic number.

3287737152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3287737152 is an abundant number, since it is smaller than the sum of its proper divisors (7482224544).

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

3287737152 is a wasteful number, since it uses less digits than its factorization.

3287737152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815436 (or 815423 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 3287737152 is about 57338.7927323204. The cubic root of 3287737152 is about 1486.9591229113.

The spelling of 3287737152 in words is "three billion, two hundred eighty-seven million, seven hundred thirty-seven thousand, one hundred fifty-two".