350078400 has 504 divisors, whose sum is σ = 1493666304. Its totient is φ = 76032000.

The previous prime is 350078371. The next prime is 350078411. The reversal of 350078400 is 4870053.

350078400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×350078400² = 245109772293120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2318325 + ... + 2318475.

Almost surely, 2^350078400 is an apocalyptic number.

350078400 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 350078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746833152).

350078400 is an abundant number, since it is smaller than the sum of its proper divisors (1143587904).

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

350078400 is a wasteful number, since it uses less digits than its factorization.

350078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 350078400 is about 18710.3821446811. The cubic root of 350078400 is about 704.7824891086.

The spelling of 350078400 in words is "three hundred fifty million, seventy-eight thousand, four hundred".