3806779680 has 768 divisors, whose sum is σ = 15711252480. Its totient is φ = 862202880.

The previous prime is 3806779679. The next prime is 3806779709. The reversal of 3806779680 is 869776083.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88529739 + ... + 88529781.

It is an arithmetic number, because the mean of its divisors is an integer number (20457360).

Almost surely, 2^3806779680 is an apocalyptic number.

3806779680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3806779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7855626240).

3806779680 is an abundant number, since it is smaller than the sum of its proper divisors (11904472800).

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

3806779680 is a wasteful number, since it uses less digits than its factorization.

3806779680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 3806779680 is about 61699.1059902816. The cubic root of 3806779680 is about 1561.4182368802.

The spelling of 3806779680 in words is "three billion, eight hundred six million, seven hundred seventy-nine thousand, six hundred eighty".