38950920 has 96 divisors (see below), whose sum is σ = 127384920. Its totient is φ = 10321920.

The previous prime is 38950883. The next prime is 38950949. The reversal of 38950920 is 2905983.

It can be written as a sum of positive squares in 4 ways, for example, as 30272004 + 8678916 = 5502^2 + 2946^2 .

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, 92310 + ... + 92730.

Almost surely, 2^38950920 is an apocalyptic number.

38950920 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 38950920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63692460).

38950920 is an abundant number, since it is smaller than the sum of its proper divisors (88434000).

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

38950920 is a wasteful number, since it uses less digits than its factorization.

38950920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 38950920 is about 6241.0672164302. The cubic root of 38950920 is about 338.9788276124.

The spelling of 38950920 in words is "thirty-eight million, nine hundred fifty thousand, nine hundred twenty".