39149640 has 96 divisors (see below), whose sum is σ = 134741880. Its totient is φ = 9824256.

The previous prime is 39149603. The next prime is 39149647. The reversal of 39149640 is 4694193.

39149640 is a `hidden beast` number, since 3 + 9 + 1 + 4 + 9 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24265476 + 14884164 = 4926^2 + 3858^2 .

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 = 39149595 and 39149604.

It is not an unprimeable number, because it can be changed into a prime (39149647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2922 + ... + 9318.

Almost surely, 2^39149640 is an apocalyptic number.

39149640 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 39149640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67370940).

39149640 is an abundant number, since it is smaller than the sum of its proper divisors (95592240).

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

39149640 is a wasteful number, since it uses less digits than its factorization.

39149640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 39149640 is about 6256.9673165200. The cubic root of 39149640 is about 339.5543180030.

The spelling of 39149640 in words is "thirty-nine million, one hundred forty-nine thousand, six hundred forty".