338796000 has 192 divisors, whose sum is σ = 1233610560. Its totient is φ = 90316800.

The previous prime is 338795987. The next prime is 338796001. The reversal of 338796000 is 697833.

It is a super-2 number, since 2×338796000² = 229565459232000000, 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 not an unprimeable number, because it can be changed into a prime (338796001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106432 + ... + 109568.

It is an arithmetic number, because the mean of its divisors is an integer number (6425055).

Almost surely, 2^338796000 is an apocalyptic number.

338796000 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 338796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616805280).

338796000 is an abundant number, since it is smaller than the sum of its proper divisors (894814560).

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

338796000 is a wasteful number, since it uses less digits than its factorization.

338796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 338796000 is about 18406.4119262826. The cubic root of 338796000 is about 697.1283718084.

The spelling of 338796000 in words is "three hundred thirty-eight million, seven hundred ninety-six thousand".