3876307600 has 135 divisors (see below), whose sum is σ = 10272714249. Its totient is φ = 1404585600.

The previous prime is 3876307597. The next prime is 3876307601. The reversal of 3876307600 is 67036783.

The square root of 3876307600 is 62260.

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., 1395470736 + 2480836864 = 37356^2 + 49808^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3876307601) 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, 13697059 + ... + 13697341.

Almost surely, 2^3876307600 is an apocalyptic number.

3876307600 is the 62260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3876307600

3876307600 is an abundant number, since it is smaller than the sum of its proper divisors (6396406649).

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

3876307600 is a wasteful number, since it uses less digits than its factorization.

3876307600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The cubic root of 3876307600 is about 1570.8669802770.

The spelling of 3876307600 in words is "three billion, eight hundred seventy-six million, three hundred seven thousand, six hundred".