349950837888 has 384 divisors, whose sum is σ = 1126161192000. Its totient is φ = 106683236352.

The previous prime is 349950837857. The next prime is 349950837889. The reversal of 349950837888 is 888738059943.

349950837888 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 508 + 37 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (349950837889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55220256 + ... + 55226592.

Almost surely, 2^349950837888 is an apocalyptic number.

349950837888 is a gapful number since it is divisible by the number (38) 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 349950837888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563080596000).

349950837888 is an abundant number, since it is smaller than the sum of its proper divisors (776210354112).

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

349950837888 is a wasteful number, since it uses less digits than its factorization.

349950837888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6437 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 349950837888 in words is "three hundred forty-nine billion, nine hundred fifty million, eight hundred thirty-seven thousand, eight hundred eighty-eight".