334670400 has 336 divisors, whose sum is σ = 1249761280. Its totient is φ = 87091200.

The previous prime is 334670377. The next prime is 334670417. The reversal of 334670400 is 4076433.

It is a super-2 number, since 2×334670400² = 224008553272320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2635137 + ... + 2635263.

Almost surely, 2^334670400 is an apocalyptic number.

334670400 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 334670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624880640).

334670400 is an abundant number, since it is smaller than the sum of its proper divisors (915090880).

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

334670400 is a wasteful number, since it uses less digits than its factorization.

334670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 334670400 is about 18293.9990160708. Note that the first 3 decimals coincide. The cubic root of 334670400 is about 694.2871077987.

The spelling of 334670400 in words is "three hundred thirty-four million, six hundred seventy thousand, four hundred".