3772728576 has 108 divisors (see below), whose sum is σ = 11280770592. Its totient is φ = 1257555456.

The previous prime is 3772728517. The next prime is 3772728577. The reversal of 3772728576 is 6758272773.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

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 not an unprimeable number, because it can be changed into a prime (3772728577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31885 + ... + 92531.

Almost surely, 2^3772728576 is an apocalyptic number.

3772728576 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 3772728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640385296).

3772728576 is an abundant number, since it is smaller than the sum of its proper divisors (7508042016).

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

3772728576 is an frugal number, since it uses more digits than its factorization.

3772728576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60678 (or 60652 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The square root of 3772728576 is about 61422.5412694721. The cubic root of 3772728576 is about 1556.7487315465.

The spelling of 3772728576 in words is "three billion, seven hundred seventy-two million, seven hundred twenty-eight thousand, five hundred seventy-six".