36348799200 has 288 divisors, whose sum is σ = 137772182016. Its totient is φ = 8151336960.

The previous prime is 36348799199. The next prime is 36348799211. The reversal of 36348799200 is 299784363.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869989 + ... + 910811.

It is an arithmetic number, because the mean of its divisors is an integer number (478375632).

Almost surely, 2^36348799200 is an apocalyptic number.

36348799200 is a gapful number since it is divisible by the number (30) 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 36348799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68886091008).

36348799200 is an abundant number, since it is smaller than the sum of its proper divisors (101423382816).

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

36348799200 is a wasteful number, since it uses less digits than its factorization.

36348799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40906 (or 40893 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 36348799200 in words is "thirty-six billion, three hundred forty-eight million, seven hundred ninety-nine thousand, two hundred".