36434075400 has 240 divisors, whose sum is σ = 126717782400. Its totient is φ = 9702184320.

The previous prime is 36434075399. The next prime is 36434075411. The reversal of 36434075400 is 457043463.

It is a happy number.

36434075400 is a `hidden beast` number, since 3 + 643 + 4 + 0 + 7 + 5 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17867581 + ... + 17869619.

It is an arithmetic number, because the mean of its divisors is an integer number (527990760).

Almost surely, 2^36434075400 is an apocalyptic number.

36434075400 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 36434075400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63358891200).

36434075400 is an abundant number, since it is smaller than the sum of its proper divisors (90283707000).

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

36434075400 is a wasteful number, since it uses less digits than its factorization.

36434075400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 36434075400 in words is "thirty-six billion, four hundred thirty-four million, seventy-five thousand, four hundred".