3432000456 has 80 divisors (see below), whose sum is σ = 9712057740. Its totient is φ = 1132185600.

The previous prime is 3432000431. The next prime is 3432000529. The reversal of 3432000456 is 6540002343.

3432000456 is a `hidden beast` number, since 3 + 4 + 3 + 200 + 0 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3083580900 + 348419556 = 55530^2 + 18666^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35556 + ... + 90156.

Almost surely, 2^3432000456 is an apocalyptic number.

3432000456 is a gapful number since it is divisible by the number (36) 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 3432000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856028870).

3432000456 is an abundant number, since it is smaller than the sum of its proper divisors (6280057284).

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

3432000456 is a wasteful number, since it uses less digits than its factorization.

3432000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54716 (or 54703 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3432000456 is about 58583.2779554029. The cubic root of 3432000456 is about 1508.3974132403.

Adding to 3432000456 its reverse (6540002343), we get a palindrome (9972002799).

The spelling of 3432000456 in words is "three billion, four hundred thirty-two million, four hundred fifty-six", and thus it is an aban number.