338761200 has 120 divisors (see below), whose sum is σ = 1091434608. Its totient is φ = 89815040.

The previous prime is 338761183. The next prime is 338761207. The reversal of 338761200 is 2167833.

338761200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×338761200² = 229518301250880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338761207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235684 + ... + 237116.

Almost surely, 2^338761200 is an apocalyptic number.

338761200 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 338761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545717304).

338761200 is an abundant number, since it is smaller than the sum of its proper divisors (752673408).

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

338761200 is a wasteful number, since it uses less digits than its factorization.

338761200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 338761200 is about 18405.4665792530. The cubic root of 338761200 is about 697.1045020874.

The spelling of 338761200 in words is "three hundred thirty-eight million, seven hundred sixty-one thousand, two hundred".