38003940 has 144 divisors (see below), whose sum is σ = 126126000. Its totient is φ = 9206784.

The previous prime is 38003909. The next prime is 38003963. The reversal of 38003940 is 4930083.

It can be written as a sum of positive squares in 8 ways, for example, as 5308416 + 32695524 = 2304^2 + 5718^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254986 + ... + 255134.

It is an arithmetic number, because the mean of its divisors is an integer number (875875).

Almost surely, 2^38003940 is an apocalyptic number.

38003940 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 38003940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63063000).

38003940 is an abundant number, since it is smaller than the sum of its proper divisors (88122060).

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

38003940 is a wasteful number, since it uses less digits than its factorization.

38003940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 38003940 is about 6164.7335708853. The cubic root of 38003940 is about 336.2091597372.

The spelling of 38003940 in words is "thirty-eight million, three thousand, nine hundred forty".