39964100 has 72 divisors (see below), whose sum is σ = 96743808. Its totient is φ = 14204800.

The previous prime is 39964091. The next prime is 39964121. The reversal of 39964100 is 146993.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51314 + ... + 52086.

It is an arithmetic number, because the mean of its divisors is an integer number (1343664).

Almost surely, 2^39964100 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 39964100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48371904).

39964100 is an abundant number, since it is smaller than the sum of its proper divisors (56779708).

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

39964100 is a wasteful number, since it uses less digits than its factorization.

39964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 39964100 is about 6321.7165390422. The cubic root of 39964100 is about 341.8928451505.

The spelling of 39964100 in words is "thirty-nine million, nine hundred sixty-four thousand, one hundred".