38009088 has 216 divisors, whose sum is σ = 124994688. Its totient is φ = 11446272.

The previous prime is 38009077. The next prime is 38009099. The reversal of 38009088 is 88090083.

It is an interprime number because it is at equal distance from previous prime (38009077) and next prime (38009099).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 808681 + ... + 808727.

Almost surely, 2^38009088 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 38009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62497344).

38009088 is an abundant number, since it is smaller than the sum of its proper divisors (86985600).

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

38009088 is an equidigital number, since it uses as much as digits as its factorization.

38009088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 38009088 is about 6165.1510930390. The cubic root of 38009088 is about 336.2243399756.

The spelling of 38009088 in words is "thirty-eight million, nine thousand, eighty-eight".