39876096100 has 81 divisors (see below), whose sum is σ = 91412073081. Its totient is φ = 15096564000.

The previous prime is 39876096089. The next prime is 39876096109. The reversal of 39876096100 is 169067893.

The square root of 39876096100 is 199690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14355394596 + 25520701504 = 119814^2 + 159752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39876096109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37940575 + ... + 37941625.

Almost surely, 2^39876096100 is an apocalyptic number.

39876096100 is the 199690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39876096100

39876096100 is an abundant number, since it is smaller than the sum of its proper divisors (51535976981).

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

39876096100 is a wasteful number, since it uses less digits than its factorization.

39876096100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 39876096100 by its sum of digits (49), we get a square (1953928708900 = 1397830²).

The spelling of 39876096100 in words is "thirty-nine billion, eight hundred seventy-six million, ninety-six thousand, one hundred".