34832913408 has 660 divisors, whose sum is σ = 118057531680. Its totient is φ = 10182205440.

The previous prime is 34832913403. The next prime is 34832913413. The reversal of 34832913408 is 80431923843.

It is an interprime number because it is at equal distance from previous prime (34832913403) and next prime (34832913413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34832913403) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1123642353 + ... + 1123642383.

It is an arithmetic number, because the mean of its divisors is an integer number (178875048).

Almost surely, 2^34832913408 is an apocalyptic number.

34832913408 is a gapful number since it is divisible by the number (38) 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 34832913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59028765840).

34832913408 is an abundant number, since it is smaller than the sum of its proper divisors (83224618272).

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

34832913408 is a wasteful number, since it uses less digits than its factorization.

34832913408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34832913408 in words is "thirty-four billion, eight hundred thirty-two million, nine hundred thirteen thousand, four hundred eight".