38485200 has 120 divisors (see below), whose sum is σ = 132817888. Its totient is φ = 9469440.

The previous prime is 38485193. The next prime is 38485211. The reversal of 38485200 is 258483.

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

It is a super-2 number, since 2×38485200² = 2962221238080000, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14367 + ... + 16833.

Almost surely, 2^38485200 is an apocalyptic number.

38485200 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 38485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66408944).

38485200 is an abundant number, since it is smaller than the sum of its proper divisors (94332688).

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

38485200 is a wasteful number, since it uses less digits than its factorization.

38485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38485200 is about 6203.6440903714. The cubic root of 38485200 is about 337.6223973071.

The spelling of 38485200 in words is "thirty-eight million, four hundred eighty-five thousand, two hundred".