3432252096 has 672 divisors, whose sum is σ = 13208325120. Its totient is φ = 853991424.

The previous prime is 3432252071. The next prime is 3432252113. The reversal of 3432252096 is 6902522343.

It is a happy number.

3432252096 is a `hidden beast` number, since 3 + 43 + 2 + 2 + 520 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3432252096.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47017116 + ... + 47017188.

Almost surely, 2^3432252096 is an apocalyptic number.

3432252096 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 3432252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604162560).

3432252096 is an abundant number, since it is smaller than the sum of its proper divisors (9776073024).

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

3432252096 is a wasteful number, since it uses less digits than its factorization.

3432252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3432252096 is about 58585.4256278812. The cubic root of 3432252096 is about 1508.4342784111.

The spelling of 3432252096 in words is "three billion, four hundred thirty-two million, two hundred fifty-two thousand, ninety-six".