3840776676 has 135 divisors (see below), whose sum is σ = 11071678233. Its totient is φ = 1160153280.

The previous prime is 3840776669. The next prime is 3840776683. The reversal of 3840776676 is 6766770483.

The square root of 3840776676 is 61974.

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

It is an interprime number because it is at equal distance from previous prime (3840776669) and next prime (3840776683).

It can be written as a sum of positive squares in only one way, i.e., 24502500 + 3816274176 = 4950^2 + 61776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12270696 + ... + 12271008.

Almost surely, 2^3840776676 is an apocalyptic number.

3840776676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3840776676 is the 61974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3840776676

3840776676 is an abundant number, since it is smaller than the sum of its proper divisors (7230901557).

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

3840776676 is a wasteful number, since it uses less digits than its factorization.

3840776676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The cubic root of 3840776676 is about 1566.0526251748.

The spelling of 3840776676 in words is "three billion, eight hundred forty million, seven hundred seventy-six thousand, six hundred seventy-six".