3772772640 has 720 divisors, whose sum is σ = 16716507192. Its totient is φ = 794271744.

The previous prime is 3772772623. The next prime is 3772772659. The reversal of 3772772640 is 462772773.

3772772640 is a `hidden beast` number, since 377 + 277 + 2 + 6 + 4 + 0 = 666.

3772772640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3045715344 + 727057296 = 55188^2 + 26964^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8255292 + ... + 8255748.

Almost surely, 2^3772772640 is an apocalyptic number.

3772772640 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 3772772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8358253596).

3772772640 is an abundant number, since it is smaller than the sum of its proper divisors (12943734552).

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

3772772640 is a wasteful number, since it uses less digits than its factorization.

3772772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The square root of 3772772640 is about 61422.8999641013. The cubic root of 3772772640 is about 1556.7547922624.

The spelling of 3772772640 in words is "three billion, seven hundred seventy-two million, seven hundred seventy-two thousand, six hundred forty".