39384240 has 240 divisors, whose sum is σ = 151142112. Its totient is φ = 8429568.

The previous prime is 39384227. The next prime is 39384263. The reversal of 39384240 is 4248393.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×39384240² = 3102236720755200, which contains 22 as substring.

It is a congruent number.

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, 199822 + ... + 200018.

Almost surely, 2^39384240 is an apocalyptic number.

39384240 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 39384240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75571056).

39384240 is an abundant number, since it is smaller than the sum of its proper divisors (111757872).

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

39384240 is a wasteful number, since it uses less digits than its factorization.

39384240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 39384240 is about 6275.6864166400. The cubic root of 39384240 is about 340.2312152766.

The spelling of 39384240 in words is "thirty-nine million, three hundred eighty-four thousand, two hundred forty".