38331600 has 120 divisors (see below), whose sum is σ = 130080960. Its totient is φ = 9615360.

The previous prime is 38331539. The next prime is 38331611. The reversal of 38331600 is 613383.

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

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

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, 19461 + ... + 21339.

It is an arithmetic number, because the mean of its divisors is an integer number (1084008).

Almost surely, 2^38331600 is an apocalyptic number.

38331600 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 38331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65040480).

38331600 is an abundant number, since it is smaller than the sum of its proper divisors (91749360).

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

38331600 is a wasteful number, since it uses less digits than its factorization.

38331600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 38331600 is about 6191.2518927920. The cubic root of 38331600 is about 337.1726318077.

Adding to 38331600 its reverse (613383), we get a palindrome (38944983).

The spelling of 38331600 in words is "thirty-eight million, three hundred thirty-one thousand, six hundred".