349795115712 has 448 divisors, whose sum is σ = 1240267776000. Its totient is φ = 94438462464.

The previous prime is 349795115707. The next prime is 349795115723. The reversal of 349795115712 is 217511597943.

349795115712 is a `hidden beast` number, since 3 + 4 + 9 + 79 + 511 + 57 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100891003 + ... + 100894469.

Almost surely, 2^349795115712 is an apocalyptic number.

349795115712 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 349795115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620133888000).

349795115712 is an abundant number, since it is smaller than the sum of its proper divisors (890472660288).

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

349795115712 is a wasteful number, since it uses less digits than its factorization.

349795115712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3937 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The spelling of 349795115712 in words is "three hundred forty-nine billion, seven hundred ninety-five million, one hundred fifteen thousand, seven hundred twelve".