349511204612640 has 384 divisors, whose sum is σ = 1336614580224000. Its totient is φ = 74989282553856.

The previous prime is 349511204612627. The next prime is 349511204612657. The reversal of 349511204612640 is 46216402115943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 349511204612640.

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, 18155200 + ... + 32072319.

It is an arithmetic number, because the mean of its divisors is an integer number (3480767136000).

Almost surely, 2^{349511204612640} is an apocalyptic number.

349511204612640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349511204612640 is an abundant number, since it is smaller than the sum of its proper divisors (987103375611360).

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

349511204612640 is a wasteful number, since it uses less digits than its factorization.

349511204612640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50227672 (or 50227664 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 349511204612640 in words is "three hundred forty-nine trillion, five hundred eleven billion, two hundred four million, six hundred twelve thousand, six hundred forty".