350001211264 has 64 divisors (see below), whose sum is σ = 729925447680. Its totient is φ = 166853209600.

The previous prime is 350001211253. The next prime is 350001211271. The reversal of 350001211264 is 462112100053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724449 + ... + 1106719.

It is an arithmetic number, because the mean of its divisors is an integer number (11405085120).

Almost surely, 2^350001211264 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 350001211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364962723840).

350001211264 is an abundant number, since it is smaller than the sum of its proper divisors (379924236416).

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

350001211264 is a wasteful number, since it uses less digits than its factorization.

350001211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382619 (or 382607 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 350001211264 in words is "three hundred fifty billion, one million, two hundred eleven thousand, two hundred sixty-four".