39364000 has 96 divisors (see below), whose sum is σ = 104294736. Its totient is φ = 14515200.

The previous prime is 39363997. The next prime is 39364021. The reversal of 39364000 is 46393.

It can be written as a sum of positive squares in 8 ways, for example, as 76176 + 39287824 = 276^2 + 6268^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51622 + ... + 52378.

Almost surely, 2^39364000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52147368).

39364000 is an abundant number, since it is smaller than the sum of its proper divisors (64930736).

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

39364000 is a wasteful number, since it uses less digits than its factorization.

39364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 39364000 is about 6274.0736368009. The cubic root of 39364000 is about 340.1729224182.

The spelling of 39364000 in words is "thirty-nine million, three hundred sixty-four thousand".