349209182181888 has 960 divisors, whose sum is σ = 1306566460108800. Its totient is φ = 91473559511040.

The previous prime is 349209182181859. The next prime is 349209182181901. The reversal of 349209182181888 is 888181281902943.

349209182181888 is a `hidden beast` number, since 349 + 2 + 0 + 9 + 182 + 18 + 18 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398536831 + ... + 399412097.

It is an arithmetic number, because the mean of its divisors is an integer number (1361006729280).

Almost surely, 2^{349209182181888} is an apocalyptic number.

349209182181888 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 349209182181888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653283230054400).

349209182181888 is an abundant number, since it is smaller than the sum of its proper divisors (957357277926912).

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

349209182181888 is a wasteful number, since it uses less digits than its factorization.

349209182181888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875358 (or 875329 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 72.

The spelling of 349209182181888 in words is "three hundred forty-nine trillion, two hundred nine billion, one hundred eighty-two million, one hundred eighty-one thousand, eight hundred eighty-eight".