336353472 has 560 divisors, whose sum is σ = 1321807872. Its totient is φ = 82114560.

The previous prime is 336353461. The next prime is 336353473. The reversal of 336353472 is 274353633.

It is a super-2 number, since 2×336353472² = 226267316252909568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (336353473) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10850097 + ... + 10850127.

Almost surely, 2^336353472 is an apocalyptic number.

336353472 is a gapful number since it is divisible by the number (32) 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 336353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660903936).

336353472 is an abundant number, since it is smaller than the sum of its proper divisors (985454400).

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

336353472 is a wasteful number, since it uses less digits than its factorization.

336353472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its digits is 136080, while the sum is 36.

The square root of 336353472 is about 18339.9419846411. The cubic root of 336353472 is about 695.4490288752.

The spelling of 336353472 in words is "three hundred thirty-six million, three hundred fifty-three thousand, four hundred seventy-two".