38846800 has 30 divisors (see below), whose sum is σ = 93330398. Its totient is φ = 15538560.

The previous prime is 38846789. The next prime is 38846807. The reversal of 38846800 is 864883.

It can be written as a sum of positive squares in 3 ways, for example, as 7441984 + 31404816 = 2728^2 + 5604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38846800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38846807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48159 + ... + 48958.

Almost surely, 2^38846800 is an apocalyptic number.

It is an amenable number.

38846800 is an abundant number, since it is smaller than the sum of its proper divisors (54483598).

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

38846800 is a wasteful number, since it uses less digits than its factorization.

38846800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97135 (or 97124 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 38846800 is about 6232.7201124389. The cubic root of 38846800 is about 338.6765157888.

The spelling of 38846800 in words is "thirty-eight million, eight hundred forty-six thousand, eight hundred".