39675000 has 144 divisors (see below), whose sum is σ = 129601080. Its totient is φ = 10120000.

The previous prime is 39674981. The next prime is 39675001. The reversal of 39675000 is 57693.

39675000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39675001) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1724989 + ... + 1725011.

Almost surely, 2^39675000 is an apocalyptic number.

39675000 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 39675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800540).

39675000 is an abundant number, since it is smaller than the sum of its proper divisors (89926080).

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

39675000 is an equidigital number, since it uses as much as digits as its factorization.

39675000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 39675000 is about 6298.8094113094. The cubic root of 39675000 is about 341.0664324207.

Multiplying 39675000 by its sum of digits (30), we get a square (1190250000 = 34500²).

39675000 divided by its sum of digits (30) gives a square (1322500 = 1150²).

The spelling of 39675000 in words is "thirty-nine million, six hundred seventy-five thousand".