39661488 has 90 divisors (see below), whose sum is σ = 116259052. Its totient is φ = 13089600.

The previous prime is 39661483. The next prime is 39661537. The reversal of 39661488 is 88416693.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (39661481) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 392638 + ... + 392738.

Almost surely, 2^39661488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39661488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58129526).

39661488 is an abundant number, since it is smaller than the sum of its proper divisors (76597564).

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

39661488 is an equidigital number, since it uses as much as digits as its factorization.

39661488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 106 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 39661488 is about 6297.7367363204. The cubic root of 39661488 is about 341.0277093550.

Multiplying 39661488 by its product of digits (248832), we get a square (9869047382016 = 3141504²).

The spelling of 39661488 in words is "thirty-nine million, six hundred sixty-one thousand, four hundred eighty-eight".