3745627776 has 384 divisors, whose sum is σ = 12678681600. Its totient is φ = 1049241600.

The previous prime is 3745627747. The next prime is 3745627777. The reversal of 3745627776 is 6777265473.

3745627776 is a `hidden beast` number, since 3 + 7 + 4 + 5 + 627 + 7 + 7 + 6 = 666.

3745627776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3745627777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11315931 + ... + 11316261.

It is an arithmetic number, because the mean of its divisors is an integer number (33017400).

Almost surely, 2^3745627776 is an apocalyptic number.

3745627776 is a gapful number since it is divisible by the number (36) 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 3745627776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339340800).

3745627776 is an abundant number, since it is smaller than the sum of its proper divisors (8933053824).

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

3745627776 is a wasteful number, since it uses less digits than its factorization.

3745627776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its digits is 10372320, while the sum is 54.

The square root of 3745627776 is about 61201.5340984195. The cubic root of 3745627776 is about 1553.0122174275.

The spelling of 3745627776 in words is "three billion, seven hundred forty-five million, six hundred twenty-seven thousand, seven hundred seventy-six".