3736521216 has 120 divisors (see below), whose sum is σ = 10808097300. Its totient is φ = 1242710016.

The previous prime is 3736521181. The next prime is 3736521221. The reversal of 3736521216 is 6121256373.

3736521216 is a `hidden beast` number, since 373 + 65 + 212 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3733698816 + 2822400 = 61104^2 + 1680^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3561460 + ... + 3562508.

Almost surely, 2^3736521216 is an apocalyptic number.

3736521216 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 3736521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404048650).

3736521216 is an abundant number, since it is smaller than the sum of its proper divisors (7071576084).

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

3736521216 is a wasteful number, since it uses less digits than its factorization.

3736521216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1827 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3736521216 is about 61127.0906881720. The cubic root of 3736521216 is about 1551.7526087413.

Adding to 3736521216 its reverse (6121256373), we get a palindrome (9857777589).

The spelling of 3736521216 in words is "three billion, seven hundred thirty-six million, five hundred twenty-one thousand, two hundred sixteen".