39745860 has 144 divisors (see below), whose sum is σ = 141341760. Its totient is φ = 8252160.

The previous prime is 39745801. The next prime is 39745873. The reversal of 39745860 is 6854793.

It is a happy number.

39745860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31726 + ... + 32954.

It is an arithmetic number, because the mean of its divisors is an integer number (981540).

Almost surely, 2^39745860 is an apocalyptic number.

39745860 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 39745860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70670880).

39745860 is an abundant number, since it is smaller than the sum of its proper divisors (101595900).

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

39745860 is a wasteful number, since it uses less digits than its factorization.

39745860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 39745860 is about 6304.4317745535. The cubic root of 39745860 is about 341.2693611632.

The spelling of 39745860 in words is "thirty-nine million, seven hundred forty-five thousand, eight hundred sixty".