349853777556504 has 128 divisors (see below), whose sum is σ = 997765394250240. Its totient is φ = 101269948188672.

The previous prime is 349853777556461. The next prime is 349853777556581. The reversal of 349853777556504 is 405655777358943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 349853777556504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2806732 + ... + 26600475.

It is an arithmetic number, because the mean of its divisors is an integer number (7795042142580).

Almost surely, 2^{349853777556504} is an apocalyptic number.

349853777556504 is a gapful number since it is divisible by the number (34) 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 349853777556504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498882697125120).

349853777556504 is an abundant number, since it is smaller than the sum of its proper divisors (647911616693736).

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

349853777556504 is a wasteful number, since it uses less digits than its factorization.

349853777556504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29409489 (or 29409485 counting only the distinct ones).

The product of its (nonzero) digits is 13335840000, while the sum is 78.

The spelling of 349853777556504 in words is "three hundred forty-nine trillion, eight hundred fifty-three billion, seven hundred seventy-seven million, five hundred fifty-six thousand, five hundred four".