351406000264 has 64 divisors (see below), whose sum is σ = 763546512960. Its totient is φ = 149844234240.

The previous prime is 351406000259. The next prime is 351406000333. The reversal of 351406000264 is 462000604153.

It is a super-3 number, since 3×351406000264³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76704 + ... + 841840.

It is an arithmetic number, because the mean of its divisors is an integer number (11930414265).

Almost surely, 2^351406000264 is an apocalyptic number.

351406000264 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 351406000264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381773256480).

351406000264 is an abundant number, since it is smaller than the sum of its proper divisors (412140512696).

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

351406000264 is a wasteful number, since it uses less digits than its factorization.

351406000264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765478 (or 765474 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 351406000264 in words is "three hundred fifty-one billion, four hundred six million, two hundred sixty-four", and thus it is an aban number.