39642240 has 128 divisors (see below), whose sum is σ = 137920320. Its totient is φ = 9605120.

The previous prime is 39642233. The next prime is 39642257. The reversal of 39642240 is 4224693.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 39642198 and 39642207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20182 + ... + 22058.

Almost surely, 2^39642240 is an apocalyptic number.

39642240 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 39642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68960160).

39642240 is an abundant number, since it is smaller than the sum of its proper divisors (98278080).

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

39642240 is a wasteful number, since it uses less digits than its factorization.

39642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 39642240 is about 6296.2083828285. The cubic root of 39642240 is about 340.9725327102.

The spelling of 39642240 in words is "thirty-nine million, six hundred forty-two thousand, two hundred forty".