39638340 has 144 divisors (see below), whose sum is σ = 138972288. Its totient is φ = 8957952.

The previous prime is 39638327. The next prime is 39638341. The reversal of 39638340 is 4383693.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39638295 and 39638304.

It is not an unprimeable number, because it can be changed into a prime (39638341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205284 + ... + 205476.

Almost surely, 2^39638340 is an apocalyptic number.

39638340 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 39638340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69486144).

39638340 is an abundant number, since it is smaller than the sum of its proper divisors (99333948).

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

39638340 is a wasteful number, since it uses less digits than its factorization.

39638340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 39638340 is about 6295.8986650041. The cubic root of 39638340 is about 340.9613507278.

The spelling of 39638340 in words is "thirty-nine million, six hundred thirty-eight thousand, three hundred forty".