349000408044288 has 2592 divisors, whose sum is σ = 1424686120632320. Its totient is φ = 79854767308800.

The previous prime is 349000408044271. The next prime is 349000408044317. The reversal of 349000408044288 is 882440804000943.

349000408044288 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 0 + 0 + 40 + 80 + 442 + 88 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57410822433 + ... + 57410828511.

Almost surely, 2^{349000408044288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349000408044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712343060316160).

349000408044288 is an abundant number, since it is smaller than the sum of its proper divisors (1075685712588032).

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

349000408044288 is a wasteful number, since it uses less digits than its factorization.

349000408044288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 349000408044288 in words is "three hundred forty-nine trillion, four hundred eight million, forty-four thousand, two hundred eighty-eight".