349516048896 has 640 divisors, whose sum is σ = 1257502371840. Its totient is φ = 93686022144.

The previous prime is 349516048883. The next prime is 349516048933. The reversal of 349516048896 is 698840615943.

349516048896 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 1 + 60 + 488 + 96 = 666.

It is a super-2 number, since 2×349516048896² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117958711 + ... + 117961673.

It is an arithmetic number, because the mean of its divisors is an integer number (1964847456).

Almost surely, 2^349516048896 is an apocalyptic number.

349516048896 is a gapful number since it is divisible by the number (36) 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 349516048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628751185920).

349516048896 is an abundant number, since it is smaller than the sum of its proper divisors (907986322944).

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

349516048896 is a wasteful number, since it uses less digits than its factorization.

349516048896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 349516048896 in words is "three hundred forty-nine billion, five hundred sixteen million, forty-eight thousand, eight hundred ninety-six".