3774055680 has 360 divisors, whose sum is σ = 13689383400. Its totient is φ = 992673792.

The previous prime is 3774055673. The next prime is 3774055693. The reversal of 3774055680 is 865504773.

It can be written as a sum of positive squares in 4 ways, for example, as 571401216 + 3202654464 = 23904^2 + 56592^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9227316 + ... + 9227724.

It is an arithmetic number, because the mean of its divisors is an integer number (38026065).

Almost surely, 2^3774055680 is an apocalyptic number.

3774055680 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 3774055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844691700).

3774055680 is an abundant number, since it is smaller than the sum of its proper divisors (9915327720).

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

3774055680 is an equidigital number, since it uses as much as digits as its factorization.

3774055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3774055680 is about 61433.3433894005. The cubic root of 3774055680 is about 1556.9312453629.

The spelling of 3774055680 in words is "three billion, seven hundred seventy-four million, fifty-five thousand, six hundred eighty".