349517915136 has 1056 divisors, whose sum is σ = 1227492556800. Its totient is φ = 97820835840.

The previous prime is 349517915119. The next prime is 349517915147. The reversal of 349517915136 is 631519715943.

349517915136 is a `hidden beast` number, since 3 + 4 + 9 + 51 + 79 + 1 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2752109505 + ... + 2752109631.

Almost surely, 2^349517915136 is an apocalyptic number.

349517915136 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 349517915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613746278400).

349517915136 is an abundant number, since it is smaller than the sum of its proper divisors (877974641664).

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

349517915136 is a wasteful number, since it uses less digits than its factorization.

349517915136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The spelling of 349517915136 in words is "three hundred forty-nine billion, five hundred seventeen million, nine hundred fifteen thousand, one hundred thirty-six".