3696504800 has 144 divisors (see below), whose sum is σ = 9539389440. Its totient is φ = 1395863040.

The previous prime is 3696504767. The next prime is 3696504811. The reversal of 3696504800 is 84056963.

3696504800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452329 + ... + 1454871.

It is an arithmetic number, because the mean of its divisors is an integer number (66245760).

Almost surely, 2^3696504800 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 3696504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769694720).

3696504800 is an abundant number, since it is smaller than the sum of its proper divisors (5842884640).

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

3696504800 is a wasteful number, since it uses less digits than its factorization.

3696504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 3696504800 is about 60798.8881477285. Note that the first 3 decimals coincide. The cubic root of 3696504800 is about 1546.1931971613.

The spelling of 3696504800 in words is "three billion, six hundred ninety-six million, five hundred four thousand, eight hundred".