39285940100 has 144 divisors (see below), whose sum is σ = 94577196672. Its totient is φ = 14044800000.

The previous prime is 39285940091. The next prime is 39285940117. The reversal of 39285940100 is 104958293.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51623720 + ... + 51624480.

It is an arithmetic number, because the mean of its divisors is an integer number (656786088).

Almost surely, 2^39285940100 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 39285940100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47288598336).

39285940100 is an abundant number, since it is smaller than the sum of its proper divisors (55291256572).

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

39285940100 is a wasteful number, since it uses less digits than its factorization.

39285940100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 39285940100 in words is "thirty-nine billion, two hundred eighty-five million, nine hundred forty thousand, one hundred".