38520090 has 128 divisors (see below), whose sum is σ = 119232000. Its totient is φ = 8667648.

The previous prime is 38520089. The next prime is 38520103. The reversal of 38520090 is 9002583.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168096 + ... + 168324.

It is an arithmetic number, because the mean of its divisors is an integer number (931500).

Almost surely, 2^38520090 is an apocalyptic number.

38520090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38520090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59616000).

38520090 is an abundant number, since it is smaller than the sum of its proper divisors (80711910).

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

38520090 is a wasteful number, since it uses less digits than its factorization.

38520090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 38520090 is about 6206.4555101926. The cubic root of 38520090 is about 337.7243939837.

The spelling of 38520090 in words is "thirty-eight million, five hundred twenty thousand, ninety".