349995155328 has 576 divisors, whose sum is σ = 1285649820000. Its totient is φ = 90554720256.

The previous prime is 349995155297. The next prime is 349995155339. The reversal of 349995155328 is 823551599943.

349995155328 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 9 + 51 + 553 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38888173 + ... + 38897171.

Almost surely, 2^349995155328 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 349995155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642824910000).

349995155328 is an abundant number, since it is smaller than the sum of its proper divisors (935654664672).

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

349995155328 is a wasteful number, since it uses less digits than its factorization.

349995155328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9077 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 349995155328 in words is "three hundred forty-nine billion, nine hundred ninety-five million, one hundred fifty-five thousand, three hundred twenty-eight".