3876165564804 has 243 divisors, whose sum is σ = 10880773793253. Its totient is φ = 1162945353024.

The previous prime is 3876165564781. The next prime is 3876165564811. The reversal of 3876165564804 is 4084655616783.

The square root of 3876165564804 is 1968798.

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

3876165564804 is a `hidden beast` number, since 3 + 8 + 7 + 6 + 1 + 65 + 564 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 573397272900 + 3302768291904 = 757230^2 + 1817352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6603348199 + ... + 6603348785.

Almost surely, 2^{3876165564804} is an apocalyptic number.

3876165564804 is the 1968798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3876165564804

3876165564804 is an abundant number, since it is smaller than the sum of its proper divisors (7004608228449).

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

3876165564804 is a wasteful number, since it uses less digits than its factorization.

3876165564804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 3876165564804 in words is "three trillion, eight hundred seventy-six billion, one hundred sixty-five million, five hundred sixty-four thousand, eight hundred four".