350134400 has 384 divisors, whose sum is σ = 1138320000. Its totient is φ = 105369600.

The previous prime is 350134373. The next prime is 350134469. The reversal of 350134400 is 4431053.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12073586 + ... + 12073614.

It is an arithmetic number, because the mean of its divisors is an integer number (2964375).

Almost surely, 2^350134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569160000).

350134400 is an abundant number, since it is smaller than the sum of its proper divisors (788185600).

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

350134400 is a wasteful number, since it uses less digits than its factorization.

350134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 350134400 is about 18711.8785801961. The cubic root of 350134400 is about 704.8200670864.

Adding to 350134400 its reverse (4431053), we get a palindrome (354565453).

The spelling of 350134400 in words is "three hundred fifty million, one hundred thirty-four thousand, four hundred".