336138880 has 256 divisors, whose sum is σ = 1057536000. Its totient is φ = 98979840.

The previous prime is 336138863. The next prime is 336138883. The reversal of 336138880 is 88831633.

It is a super-2 number, since 2×336138880² = 225978693295308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (336138883) 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 31 ways as a sum of consecutive naturals, for example, 936141 + ... + 936499.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2^336138880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768000).

336138880 is an abundant number, since it is smaller than the sum of its proper divisors (721397120).

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

336138880 is a wasteful number, since it uses less digits than its factorization.

336138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 336138880 is about 18334.0906510249. The cubic root of 336138880 is about 695.3010996288.

The spelling of 336138880 in words is "three hundred thirty-six million, one hundred thirty-eight thousand, eight hundred eighty".