338988000 has 384 divisors, whose sum is σ = 1248234624. Its totient is φ = 79872000.

The previous prime is 338987993. The next prime is 338988037. The reversal of 338988000 is 889833.

It is a happy number.

It is a super-2 number, since 2×338988000² = 229825728288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 338988000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6395974 + ... + 6396026.

It is an arithmetic number, because the mean of its divisors is an integer number (3250611).

Almost surely, 2^338988000 is an apocalyptic number.

338988000 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 338988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

338988000 is an abundant number, since it is smaller than the sum of its proper divisors (909246624).

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

338988000 is a wasteful number, since it uses less digits than its factorization.

338988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 338988000 is about 18411.6267613701. The cubic root of 338988000 is about 697.2600374428.

The spelling of 338988000 in words is "three hundred thirty-eight million, nine hundred eighty-eight thousand".