3736864224 has 72 divisors (see below), whose sum is σ = 10636883712. Its totient is φ = 1244428800.

The previous prime is 3736864213. The next prime is 3736864249. The reversal of 3736864224 is 4224686373.

3736864224 is a `hidden beast` number, since 3 + 7 + 368 + 64 + 224 = 666.

3736864224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3736864224² = 27928308457222244352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3736864224.

It is a congruent number.

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, 325852 + ... + 337124.

It is an arithmetic number, because the mean of its divisors is an integer number (147734496).

Almost surely, 2^3736864224 is an apocalyptic number.

It is an amenable number.

3736864224 is an abundant number, since it is smaller than the sum of its proper divisors (6900019488).

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

3736864224 is a wasteful number, since it uses less digits than its factorization.

3736864224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12440 (or 12429 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 3736864224 is about 61129.8963192316. The cubic root of 3736864224 is about 1551.8000902748.

The spelling of 3736864224 in words is "three billion, seven hundred thirty-six million, eight hundred sixty-four thousand, two hundred twenty-four".