338962000 has 80 divisors (see below), whose sum is σ = 882724752. Its totient is φ = 125145600.

The previous prime is 338961937. The next prime is 338962003. The reversal of 338962000 is 269833.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 144192064 + 194769936 = 12008^2 + 13956^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338962000² = 229790474888000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338962003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19482 + ... + 32518.

Almost surely, 2^338962000 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 338962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441362376).

338962000 is an abundant number, since it is smaller than the sum of its proper divisors (543762752).

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

338962000 is a wasteful number, since it uses less digits than its factorization.

338962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13073 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 338962000 is about 18410.9206722532. The cubic root of 338962000 is about 697.2422106323.

The spelling of 338962000 in words is "three hundred thirty-eight million, nine hundred sixty-two thousand".