336741494400 has 480 divisors, whose sum is σ = 1315764451980. Its totient is φ = 84514406400.

The previous prime is 336741494303. The next prime is 336741494413. The reversal of 336741494400 is 4494147633.

336741494400 is a `hidden beast` number, since 3 + 3 + 67 + 4 + 149 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 76959637056 + 259781857344 = 277416^2 + 509688^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×336741494400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4368190 + ... + 4444610.

Almost surely, 2^336741494400 is an apocalyptic number.

336741494400 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 336741494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657882225990).

336741494400 is an abundant number, since it is smaller than the sum of its proper divisors (979022957580).

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

336741494400 is a wasteful number, since it uses less digits than its factorization.

336741494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76474 (or 76448 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 336741494400 in words is "three hundred thirty-six billion, seven hundred forty-one million, four hundred ninety-four thousand, four hundred".