38096400 has 120 divisors (see below), whose sum is σ = 124545600. Its totient is φ = 9950720.

The previous prime is 38096393. The next prime is 38096411. The reversal of 38096400 is 469083.

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 (30).

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, 63301 + ... + 63899.

It is an arithmetic number, because the mean of its divisors is an integer number (1037880).

Almost surely, 2^38096400 is an apocalyptic number.

38096400 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 38096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800).

38096400 is an abundant number, since it is smaller than the sum of its proper divisors (86449200).

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

38096400 is a wasteful number, since it uses less digits than its factorization.

38096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 38096400 is about 6172.2281228095. The cubic root of 38096400 is about 336.4815939746.

The spelling of 38096400 in words is "thirty-eight million, ninety-six thousand, four hundred".