3434908032 has 224 divisors, whose sum is σ = 10374887160. Its totient is φ = 1132185600.

The previous prime is 3434907991. The next prime is 3434908033. The reversal of 3434908032 is 2308094343.

It is a happy number.

It is a super-2 number, since 2×3434908032² = 23597186376596226048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434908033) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 12223732 + ... + 12224012.

Almost surely, 2^3434908032 is an apocalyptic number.

3434908032 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 3434908032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187443580).

3434908032 is an abundant number, since it is smaller than the sum of its proper divisors (6939979128).

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

3434908032 is an equidigital number, since it uses as much as digits as its factorization.

3434908032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3434908032 is about 58608.0884520217. The cubic root of 3434908032 is about 1508.8232622671.

The spelling of 3434908032 in words is "three billion, four hundred thirty-four million, nine hundred eight thousand, thirty-two".