39141648 has 240 divisors, whose sum is σ = 140824320. Its totient is φ = 9870336.

The previous prime is 39141643. The next prime is 39141649. The reversal of 39141648 is 84614193.

39141648 is a `hidden beast` number, since 3 + 9 + 1 + 4 + 1 + 648 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39141643) 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, 379965 + ... + 380067.

It is an arithmetic number, because the mean of its divisors is an integer number (586768).

Almost surely, 2^39141648 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 39141648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70412160).

39141648 is an abundant number, since it is smaller than the sum of its proper divisors (101682672).

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

39141648 is a wasteful number, since it uses less digits than its factorization.

39141648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 39141648 is about 6256.3286358694. The cubic root of 39141648 is about 339.5312109128.

The spelling of 39141648 in words is "thirty-nine million, one hundred forty-one thousand, six hundred forty-eight".