38200800 has 144 divisors (see below), whose sum is σ = 135741312. Its totient is φ = 9254400.

The previous prime is 38200783. The next prime is 38200817. The reversal of 38200800 is 800283.

It is an interprime number because it is at equal distance from previous prime (38200783) and next prime (38200817).

It is a super-2 number, since 2×38200800² = 2918602241280000, which contains 22 as substring.

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, 25677 + ... + 27123.

It is an arithmetic number, because the mean of its divisors is an integer number (942648).

Almost surely, 2^38200800 is an apocalyptic number.

38200800 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 38200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67870656).

38200800 is an abundant number, since it is smaller than the sum of its proper divisors (97540512).

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

38200800 is a wasteful number, since it uses less digits than its factorization.

38200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 38200800 is about 6180.6795742863. The cubic root of 38200800 is about 336.7886801920.

The spelling of 38200800 in words is "thirty-eight million, two hundred thousand, eight hundred".