39649140 has 72 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 10501824.

The previous prime is 39649123. The next prime is 39649187. The reversal of 39649140 is 4194693.

39649140 is a `hidden beast` number, since 3 + 9 + 649 + 1 + 4 + 0 = 666.

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 = 39649095 and 39649104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29401 + ... + 30719.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^39649140 is an apocalyptic number.

39649140 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 39649140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

39649140 is an abundant number, since it is smaller than the sum of its proper divisors (81431820).

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

39649140 is a wasteful number, since it uses less digits than its factorization.

39649140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1496 counting only the distinct ones).

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

The square root of 39649140 is about 6296.7563078144. The cubic root of 39649140 is about 340.9923144210.

The spelling of 39649140 in words is "thirty-nine million, six hundred forty-nine thousand, one hundred forty".