38096000 has 64 divisors (see below), whose sum is σ = 94755960. Its totient is φ = 15232000.

The previous prime is 38095961. The next prime is 38096017. The reversal of 38096000 is 69083.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1420864 + 36675136 = 1192^2 + 6056^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14810 + ... + 17190.

Almost surely, 2^38096000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47377980).

38096000 is an abundant number, since it is smaller than the sum of its proper divisors (56659960).

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

38096000 is an equidigital number, since it uses as much as digits as its factorization.

38096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 38096000 is about 6172.1957195151. The cubic root of 38096000 is about 336.4804163209.

The spelling of 38096000 in words is "thirty-eight million, ninety-six thousand".