349010792064 has 1024 divisors, whose sum is σ = 1283496192000. Its totient is φ = 91968307200.

The previous prime is 349010792017. The next prime is 349010792069. The reversal of 349010792064 is 460297010943.

It is a happy number.

349010792064 is a `hidden beast` number, since 3 + 490 + 10 + 7 + 92 + 0 + 64 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (349010792069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 528003894 + ... + 528004554.

It is an arithmetic number, because the mean of its divisors is an integer number (1253414250).

Almost surely, 2^349010792064 is an apocalyptic number.

349010792064 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 349010792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641748096000).

349010792064 is an abundant number, since it is smaller than the sum of its proper divisors (934485399936).

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

349010792064 is a wasteful number, since it uses less digits than its factorization.

349010792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 349010792064 in words is "three hundred forty-nine billion, ten million, seven hundred ninety-two thousand, sixty-four".