39064100 has 36 divisors (see below), whose sum is σ = 85544004. Its totient is φ = 15482880.

The previous prime is 39064099. The next prime is 39064111. The reversal of 39064100 is 146093.

It can be written as a sum of positive squares in 6 ways, for example, as 20124196 + 18939904 = 4486^2 + 4352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9572 + ... + 13028.

Almost surely, 2^39064100 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 39064100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42772002).

39064100 is an abundant number, since it is smaller than the sum of its proper divisors (46479904).

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

39064100 is a wasteful number, since it uses less digits than its factorization.

39064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 39064100 is about 6250.1279986893. The cubic root of 39064100 is about 339.3068346172.

The spelling of 39064100 in words is "thirty-nine million, sixty-four thousand, one hundred".