39645342 has 64 divisors (see below), whose sum is σ = 99256320. Its totient is φ = 11620800.

The previous prime is 39645341. The next prime is 39645367. The reversal of 39645342 is 24354693.

39645342 is a `hidden beast` number, since 3 + 9 + 645 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 39645297 and 39645306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39645341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17338 + ... + 19490.

It is an arithmetic number, because the mean of its divisors is an integer number (1550880).

Almost surely, 2^39645342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39645342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49628160).

39645342 is an abundant number, since it is smaller than the sum of its proper divisors (59610978).

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

39645342 is a wasteful number, since it uses less digits than its factorization.

39645342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2200 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 39645342 is about 6296.4547167434. The cubic root of 39645342 is about 340.9814261633.

It can be divided in two parts, 396453 and 42, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 39645342 in words is "thirty-nine million, six hundred forty-five thousand, three hundred forty-two".