349115000832 has 384 divisors, whose sum is σ = 1172375568000. Its totient is φ = 101762334720.

The previous prime is 349115000821. The next prime is 349115000833. The reversal of 349115000832 is 238000511943.

349115000832 is a `hidden beast` number, since 34 + 91 + 1 + 500 + 0 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (349115000833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13645332 + ... + 13670892.

It is an arithmetic number, because the mean of its divisors is an integer number (3053061375).

Almost surely, 2^349115000832 is an apocalyptic number.

349115000832 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 349115000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586187784000).

349115000832 is an abundant number, since it is smaller than the sum of its proper divisors (823260567168).

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

349115000832 is a wasteful number, since it uses less digits than its factorization.

349115000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25624 (or 25598 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 349115000832 in words is "three hundred forty-nine billion, one hundred fifteen million, eight hundred thirty-two", and thus it is an aban number.