336612480 has 128 divisors (see below), whose sum is σ = 1079568000. Its totient is φ = 89210880.

The previous prime is 336612439. The next prime is 336612481. The reversal of 336612480 is 84216633.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×336612480² = 226615923383500800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336612481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381640 + ... + 382520.

It is an arithmetic number, because the mean of its divisors is an integer number (8434125).

Almost surely, 2^336612480 is an apocalyptic number.

336612480 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 336612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539784000).

336612480 is an abundant number, since it is smaller than the sum of its proper divisors (742955520).

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

336612480 is a wasteful number, since it uses less digits than its factorization.

336612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 336612480 is about 18347.0019349211. The cubic root of 336612480 is about 695.6274925664.

The spelling of 336612480 in words is "three hundred thirty-six million, six hundred twelve thousand, four hundred eighty".