36213979200 has 504 divisors, whose sum is σ = 140031216000. Its totient is φ = 8168509440.

The previous prime is 36213979183. The next prime is 36213979229. The reversal of 36213979200 is 297931263.

It is a super-2 number, since 2×36213979200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 18579826 + ... + 18581774.

Almost surely, 2^36213979200 is an apocalyptic number.

36213979200 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 36213979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70015608000).

36213979200 is an abundant number, since it is smaller than the sum of its proper divisors (103817236800).

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

36213979200 is a wasteful number, since it uses less digits than its factorization.

36213979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 36213979200 in words is "thirty-six billion, two hundred thirteen million, nine hundred seventy-nine thousand, two hundred".