349501565664 has 192 divisors, whose sum is σ = 1040116654080. Its totient is φ = 115580255616.

The previous prime is 349501565653. The next prime is 349501565669. The reversal of 349501565664 is 466565105943.

349501565664 is a `hidden beast` number, since 34 + 9 + 501 + 56 + 56 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 349501565664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349501565669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8868307 + ... + 8907629.

It is an arithmetic number, because the mean of its divisors is an integer number (5417274240).

Almost surely, 2^349501565664 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 349501565664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520058327040).

349501565664 is an abundant number, since it is smaller than the sum of its proper divisors (690615088416).

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

349501565664 is an equidigital number, since it uses as much as digits as its factorization.

349501565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39481 (or 39455 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 349501565664 in words is "three hundred forty-nine billion, five hundred one million, five hundred sixty-five thousand, six hundred sixty-four".