350714400 has 144 divisors (see below), whose sum is σ = 1181174400. Its totient is φ = 90280960.

The previous prime is 350714393. The next prime is 350714401. The reversal of 350714400 is 4417053.

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 (350714401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67081 + ... + 72119.

It is an arithmetic number, because the mean of its divisors is an integer number (8202600).

Almost surely, 2^350714400 is an apocalyptic number.

350714400 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 350714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590587200).

350714400 is an abundant number, since it is smaller than the sum of its proper divisors (830460000).

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

350714400 is a wasteful number, since it uses less digits than its factorization.

350714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 350714400 is about 18727.3703439645. The cubic root of 350714400 is about 705.2090321259.

The spelling of 350714400 in words is "three hundred fifty million, seven hundred fourteen thousand, four hundred".