3432233160 has 96 divisors (see below), whose sum is σ = 11168834040. Its totient is φ = 914107392.

The previous prime is 3432233111. The next prime is 3432233177. The reversal of 3432233160 is 613322343.

It is a happy number.

3432233160 is a `hidden beast` number, since 3 + 4 + 322 + 331 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2575968516 + 856264644 = 50754^2 + 29262^2 .

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, 301492 + ... + 312668.

Almost surely, 2^3432233160 is an apocalyptic number.

3432233160 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 3432233160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584417020).

3432233160 is an abundant number, since it is smaller than the sum of its proper divisors (7736600880).

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

3432233160 is a wasteful number, since it uses less digits than its factorization.

3432233160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12047 (or 12040 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3432233160 is about 58585.2640174985. The cubic root of 3432233160 is about 1508.4315043565.

The spelling of 3432233160 in words is "three billion, four hundred thirty-two million, two hundred thirty-three thousand, one hundred sixty".