38290920 has 64 divisors (see below), whose sum is σ = 116778240. Its totient is φ = 10041600.

The previous prime is 38290891. The next prime is 38290943. The reversal of 38290920 is 2909283.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4705 + ... + 9935.

It is an arithmetic number, because the mean of its divisors is an integer number (1824660).

Almost surely, 2^38290920 is an apocalyptic number.

38290920 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 38290920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58389120).

38290920 is an abundant number, since it is smaller than the sum of its proper divisors (78487320).

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

38290920 is a wasteful number, since it uses less digits than its factorization.

38290920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 38290920 is about 6187.9657400474. The cubic root of 38290920 is about 337.0533130411.

The spelling of 38290920 in words is "thirty-eight million, two hundred ninety thousand, nine hundred twenty".