36395820234000 has 1920 divisors, whose sum is σ = 148419820523520. Its totient is φ = 8566041600000.

The previous prime is 36395820233989. The next prime is 36395820234023. The reversal of 36395820234000 is 43202859363.

36395820234000 is a `hidden beast` number, since 3 + 6 + 3 + 9 + 582 + 0 + 23 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16168732875 + ... + 16168735125.

It is an arithmetic number, because the mean of its divisors is an integer number (77301989856).

Almost surely, 2^{36395820234000} is an apocalyptic number.

36395820234000 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 36395820234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74209910261760).

36395820234000 is an abundant number, since it is smaller than the sum of its proper divisors (112024000289520).

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

36395820234000 is a wasteful number, since it uses less digits than its factorization.

36395820234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 36395820234000 in words is "thirty-six trillion, three hundred ninety-five billion, eight hundred twenty million, two hundred thirty-four thousand".