3779455680 has 1792 divisors, whose sum is σ = 19663257600. Its totient is φ = 656916480.

The previous prime is 3779455643. The next prime is 3779455709. The reversal of 3779455680 is 865549773.

3779455680 is a `hidden beast` number, since 3 + 7 + 7 + 9 + 4 + 556 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 255 ways as a sum of consecutive naturals, for example, 164324149 + ... + 164324171.

It is an arithmetic number, because the mean of its divisors is an integer number (10972800).

Almost surely, 2^3779455680 is an apocalyptic number.

3779455680 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 3779455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9831628800).

3779455680 is an abundant number, since it is smaller than the sum of its proper divisors (15883801920).

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

3779455680 is a wasteful number, since it uses less digits than its factorization.

3779455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3779455680 is about 61477.2777536546. The cubic root of 3779455680 is about 1557.6734550509.

The spelling of 3779455680 in words is "three billion, seven hundred seventy-nine million, four hundred fifty-five thousand, six hundred eighty".