350750400 has 672 divisors, whose sum is σ = 1566233088. Its totient is φ = 66355200.

The previous prime is 350750383. The next prime is 350750401. The reversal of 350750400 is 4057053.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350750401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804764 + ... + 4804836.

It is an arithmetic number, because the mean of its divisors is an integer number (2330704).

Almost surely, 2^350750400 is an apocalyptic number.

350750400 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 350750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783116544).

350750400 is an abundant number, since it is smaller than the sum of its proper divisors (1215482688).

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

350750400 is a wasteful number, since it uses less digits than its factorization.

350750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 350750400 is about 18728.3314793390. The cubic root of 350750400 is about 705.2331606443.

The spelling of 350750400 in words is "three hundred fifty million, seven hundred fifty thousand, four hundred".