36386051400 has 144 divisors (see below), whose sum is σ = 122433302160. Its totient is φ = 9684144000.

The previous prime is 36386051399. The next prime is 36386051407. The reversal of 36386051400 is 415068363.

36386051400 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 605 + 1 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36386051407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 922075 + ... + 960725.

It is an arithmetic number, because the mean of its divisors is an integer number (850231265).

Almost surely, 2^36386051400 is an apocalyptic number.

36386051400 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 36386051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61216651080).

36386051400 is an abundant number, since it is smaller than the sum of its proper divisors (86047250760).

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

36386051400 is a wasteful number, since it uses less digits than its factorization.

36386051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39196 (or 39184 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36386051400 in words is "thirty-six billion, three hundred eighty-six million, fifty-one thousand, four hundred".