336741400 has 48 divisors (see below), whose sum is σ = 788621400. Its totient is φ = 133716480.

The previous prime is 336741343. The next prime is 336741401. The reversal of 336741400 is 4147633.

336741400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×336741400² = 226789540947920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336741401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21744 + ... + 33856.

Almost surely, 2^336741400 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 336741400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394310700).

336741400 is an abundant number, since it is smaller than the sum of its proper divisors (451880000).

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

336741400 is a wasteful number, since it uses less digits than its factorization.

336741400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12268 (or 12259 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 336741400 is about 18350.5149791498. The cubic root of 336741400 is about 695.7162878974.

The spelling of 336741400 in words is "three hundred thirty-six million, seven hundred forty-one thousand, four hundred".