3430132992 has 432 divisors, whose sum is σ = 12053059200. Its totient is φ = 923811840.

The previous prime is 3430132987. The next prime is 3430133009. The reversal of 3430132992 is 2992310343.

3430132992 is a `hidden beast` number, since 3 + 430 + 132 + 9 + 92 = 666.

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 47 ways as a sum of consecutive naturals, for example, 9554509 + ... + 9554867.

It is an arithmetic number, because the mean of its divisors is an integer number (27900600).

Almost surely, 2^3430132992 is an apocalyptic number.

3430132992 is a gapful number since it is divisible by the number (32) 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 3430132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026529600).

3430132992 is an abundant number, since it is smaller than the sum of its proper divisors (8622926208).

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

3430132992 is a wasteful number, since it uses less digits than its factorization.

3430132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3430132992 is about 58567.3372452598. The cubic root of 3430132992 is about 1508.1237741023.

The spelling of 3430132992 in words is "three billion, four hundred thirty million, one hundred thirty-two thousand, nine hundred ninety-two".