350513692672 has 512 divisors, whose sum is σ = 901929369600. Its totient is φ = 133772083200.

The previous prime is 350513692667. The next prime is 350513692679. The reversal of 350513692672 is 276296315053.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×350513692672² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (350513692679) 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 31 ways as a sum of consecutive naturals, for example, 2759950273 + ... + 2759950399.

It is an arithmetic number, because the mean of its divisors is an integer number (1761580800).

Almost surely, 2^350513692672 is an apocalyptic number.

350513692672 is a gapful number since it is divisible by the number (32) 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 350513692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450964684800).

350513692672 is an abundant number, since it is smaller than the sum of its proper divisors (551415676928).

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

350513692672 is a wasteful number, since it uses less digits than its factorization.

350513692672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 49.

The spelling of 350513692672 in words is "three hundred fifty billion, five hundred thirteen million, six hundred ninety-two thousand, six hundred seventy-two".