336788496 has 240 divisors, whose sum is σ = 1128052800. Its totient is φ = 95800320.

The previous prime is 336788489. The next prime is 336788497. The reversal of 336788496 is 694887633.

It is a super-2 number, since 2×336788496² = 226852982075884032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336788497) by changing a digit.

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, 888435 + ... + 888813.

It is an arithmetic number, because the mean of its divisors is an integer number (4700220).

Almost surely, 2^336788496 is an apocalyptic number.

336788496 is a gapful number since it is divisible by the number (36) 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 336788496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564026400).

336788496 is an abundant number, since it is smaller than the sum of its proper divisors (791264304).

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

336788496 is a wasteful number, since it uses less digits than its factorization.

336788496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 412 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 336788496 is about 18351.7981680270. The cubic root of 336788496 is about 695.7487202297.

The spelling of 336788496 in words is "three hundred thirty-six million, seven hundred eighty-eight thousand, four hundred ninety-six".