39138390 has 80 divisors (see below), whose sum is σ = 106199280. Its totient is φ = 10342080.

The previous prime is 39138377. The next prime is 39138391. The reversal of 39138390 is 9383193.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39138391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170796 + ... + 171024.

It is an arithmetic number, because the mean of its divisors is an integer number (1327491).

Almost surely, 2^39138390 is an apocalyptic number.

39138390 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 39138390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53099640).

39138390 is an abundant number, since it is smaller than the sum of its proper divisors (67060890).

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

39138390 is a wasteful number, since it uses less digits than its factorization.

39138390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 39138390 is about 6256.0682541034. The cubic root of 39138390 is about 339.5217902280.

It can be divided in two parts, 391 and 38390, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 39138390 in words is "thirty-nine million, one hundred thirty-eight thousand, three hundred ninety".