350845038000 has 480 divisors, whose sum is σ = 1253350530432. Its totient is φ = 91443456000.

The previous prime is 350845037993. The next prime is 350845038013. The reversal of 350845038000 is 830548053.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189953077 + ... + 189954923.

Almost surely, 2^350845038000 is an apocalyptic number.

350845038000 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 350845038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626675265216).

350845038000 is an abundant number, since it is smaller than the sum of its proper divisors (902505492432).

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

350845038000 is a wasteful number, since it uses less digits than its factorization.

350845038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 350845038000 in words is "three hundred fifty billion, eight hundred forty-five million, thirty-eight thousand".