3728812096 has 63 divisors (see below), whose sum is σ = 7877766439. Its totient is φ = 1750827008.

The previous prime is 3728812067. The next prime is 3728812103. The reversal of 3728812096 is 6902188273.

The square root of 3728812096 is 61064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 585640000 + 3143172096 = 24200^2 + 56064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8304480 + ... + 8304928.

Almost surely, 2^3728812096 is an apocalyptic number.

3728812096 is the 61064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728812096

3728812096 is an abundant number, since it is smaller than the sum of its proper divisors (4148954343).

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

3728812096 is an frugal number, since it uses more digits than its factorization.

3728812096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The cubic root of 3728812096 is about 1550.6846917442.

The spelling of 3728812096 in words is "three billion, seven hundred twenty-eight million, eight hundred twelve thousand, ninety-six".