350729823360 has 1024 divisors, whose sum is σ = 1433172787200. Its totient is φ = 71097384960.

The previous prime is 350729823341. The next prime is 350729823383. The reversal of 350729823360 is 63328927053.

It is a super-3 number, since 3×350729823360³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 284913945 + ... + 284915175.

It is an arithmetic number, because the mean of its divisors is an integer number (1399582800).

Almost surely, 2^350729823360 is an apocalyptic number.

350729823360 is a gapful number since it is divisible by the number (30) 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 350729823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716586393600).

350729823360 is an abundant number, since it is smaller than the sum of its proper divisors (1082442963840).

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

350729823360 is a wasteful number, since it uses less digits than its factorization.

350729823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 350729823360 in words is "three hundred fifty billion, seven hundred twenty-nine million, eight hundred twenty-three thousand, three hundred sixty".