36298225600 has 504 divisors, whose sum is σ = 112139870208. Its totient is φ = 11321856000.

The previous prime is 36298225519. The next prime is 36298225643. The reversal of 36298225600 is 652289263.

It is a happy number.

36298225600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36298225600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 240385525 + ... + 240385675.

Almost surely, 2^36298225600 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 36298225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56069935104).

36298225600 is an abundant number, since it is smaller than the sum of its proper divisors (75841644608).

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

36298225600 is a wasteful number, since it uses less digits than its factorization.

36298225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 36298225600 in words is "thirty-six billion, two hundred ninety-eight million, two hundred twenty-five thousand, six hundred".