336253680 has 360 divisors, whose sum is σ = 1366131312. Its totient is φ = 76640256.

The previous prime is 336253663. The next prime is 336253691. The reversal of 336253680 is 86352633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×336253680² = 226133074627084800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952384 + ... + 952736.

Almost surely, 2^336253680 is an apocalyptic number.

336253680 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 336253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683065656).

336253680 is an abundant number, since it is smaller than the sum of its proper divisors (1029877632).

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

336253680 is a wasteful number, since it uses less digits than its factorization.

336253680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 336253680 is about 18337.2211635242. The cubic root of 336253680 is about 695.3802449719.

It can be divided in two parts, 336 and 253680, that added together give a square (254016 = 504²).

The spelling of 336253680 in words is "three hundred thirty-six million, two hundred fifty-three thousand, six hundred eighty".