38056200 has 384 divisors, whose sum is σ = 157489920. Its totient is φ = 7372800.

The previous prime is 38056153. The next prime is 38056219. The reversal of 38056200 is 265083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 928180 + ... + 928220.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^38056200 is an apocalyptic number.

38056200 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 38056200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

38056200 is an abundant number, since it is smaller than the sum of its proper divisors (119433720).

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

38056200 is a wasteful number, since it uses less digits than its factorization.

38056200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 38056200 is about 6168.9707407314. The cubic root of 38056200 is about 336.3631985297.

The spelling of 38056200 in words is "thirty-eight million, fifty-six thousand, two hundred".