34379115232 has 192 divisors, whose sum is σ = 90580944384. Its totient is φ = 12432752640.

The previous prime is 34379115217. The next prime is 34379115247. The reversal of 34379115232 is 23251197343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34379115217) and next prime (34379115247).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3052203 + ... + 3063445.

It is an arithmetic number, because the mean of its divisors is an integer number (471775752).

Almost surely, 2^34379115232 is an apocalyptic number.

34379115232 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 34379115232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45290472192).

34379115232 is an abundant number, since it is smaller than the sum of its proper divisors (56201829152).

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

34379115232 is a wasteful number, since it uses less digits than its factorization.

34379115232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11361 (or 11353 counting only the distinct ones).

The product of its digits is 136080, while the sum is 40.

The spelling of 34379115232 in words is "thirty-four billion, three hundred seventy-nine million, one hundred fifteen thousand, two hundred thirty-two".