350490316800 has 936 divisors, whose sum is σ = 1292169435744. Its totient is φ = 83731415040.

The previous prime is 350490316789. The next prime is 350490316907. The reversal of 350490316800 is 8613094053.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2232422322 + ... + 2232422478.

Almost surely, 2^350490316800 is an apocalyptic number.

350490316800 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 350490316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646084717872).

350490316800 is an abundant number, since it is smaller than the sum of its proper divisors (941679118944).

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

350490316800 is a wasteful number, since it uses less digits than its factorization.

350490316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 350490316800 in words is "three hundred fifty billion, four hundred ninety million, three hundred sixteen thousand, eight hundred".