3776804416 has 112 divisors (see below), whose sum is σ = 9441436032. Its totient is φ = 1456128000.

The previous prime is 3776804411. The next prime is 3776804441. The reversal of 3776804416 is 6144086773.

3776804416 is a nontrivial binomial coefficient, being equal to C(86912, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3776804411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474066 + ... + 481966.

It is an arithmetic number, because the mean of its divisors is an integer number (84298536).

Almost surely, 2^3776804416 is an apocalyptic number.

3776804416 is the 86911-st triangular number and also the 43456-th hexagonal number.

3776804416 is the 28971-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3776804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720718016).

3776804416 is an abundant number, since it is smaller than the sum of its proper divisors (5664631616).

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

3776804416 is a wasteful number, since it uses less digits than its factorization.

3776804416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 3776804416 is about 61455.7110120776. The cubic root of 3776804416 is about 1557.3091371916.

The spelling of 3776804416 in words is "three billion, seven hundred seventy-six million, eight hundred four thousand, four hundred sixteen".