350794800 has 240 divisors, whose sum is σ = 1267136160. Its totient is φ = 93312000.

The previous prime is 350794789. The next prime is 350794823. The reversal of 350794800 is 8497053.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 874600 + ... + 875000.

It is an arithmetic number, because the mean of its divisors is an integer number (5279734).

Almost surely, 2^350794800 is an apocalyptic number.

350794800 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 350794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633568080).

350794800 is an abundant number, since it is smaller than the sum of its proper divisors (916341360).

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

350794800 is an equidigital number, since it uses as much as digits as its factorization.

350794800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 350794800 is about 18729.5168117066. The cubic root of 350794800 is about 705.2629168766.

The spelling of 350794800 in words is "three hundred fifty million, seven hundred ninety-four thousand, eight hundred".