3728761344 has 640 divisors, whose sum is σ = 14330511360. Its totient is φ = 928972800.

The previous prime is 3728761331. The next prime is 3728761349. The reversal of 3728761344 is 4431678273.

3728761344 is a `hidden beast` number, since 3 + 7 + 28 + 7 + 613 + 4 + 4 = 666.

It is a super-2 number, since 2×3728761344² = 27807322321017372672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (677376) is a multiple of the sum of its prime factors (189).

It is a self number, because there is not a number n which added to its sum of digits gives 3728761344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728761349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32997832 + ... + 32997944.

It is an arithmetic number, because the mean of its divisors is an integer number (22391424).

Almost surely, 2^3728761344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165255680).

3728761344 is an abundant number, since it is smaller than the sum of its proper divisors (10601750016).

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

3728761344 is a wasteful number, since it uses less digits than its factorization.

3728761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3728761344 is about 61063.5844345875. The cubic root of 3728761344 is about 1550.6776563752.

The spelling of 3728761344 in words is "three billion, seven hundred twenty-eight million, seven hundred sixty-one thousand, three hundred forty-four".