349023012048 has 160 divisors (see below), whose sum is σ = 1022698828800. Its totient is φ = 113932070784.

The previous prime is 349023012043. The next prime is 349023012061. The reversal of 349023012048 is 840210320943.

349023012048 is a `hidden beast` number, since 3 + 490 + 2 + 3 + 0 + 120 + 48 = 666.

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 (349023012043) 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, 6677311 + ... + 6729377.

It is an arithmetic number, because the mean of its divisors is an integer number (6391867680).

Almost surely, 2^349023012048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349023012048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511349414400).

349023012048 is an abundant number, since it is smaller than the sum of its proper divisors (673675816752).

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

349023012048 is a wasteful number, since it uses less digits than its factorization.

349023012048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52406 (or 52394 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 349023012048 in words is "three hundred forty-nine billion, twenty-three million, twelve thousand, forty-eight".