350498304000 has 624 divisors, whose sum is σ = 1360934518944. Its totient is φ = 86261760000.

The previous prime is 350498303929. The next prime is 350498304011. The reversal of 350498304000 is 403894053.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×350498304000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59901075 + ... + 59906925.

It is an arithmetic number, because the mean of its divisors is an integer number (2180984806).

Almost surely, 2^350498304000 is an apocalyptic number.

350498304000 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 350498304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680467259472).

350498304000 is an abundant number, since it is smaller than the sum of its proper divisors (1010436214944).

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

350498304000 is a wasteful number, since it uses less digits than its factorization.

350498304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 350498304000 in words is "three hundred fifty billion, four hundred ninety-eight million, three hundred four thousand".