36306254400 has 672 divisors, whose sum is σ = 137341709568. Its totient is φ = 8326348800.

The previous prime is 36306254393. The next prime is 36306254417. The reversal of 36306254400 is 445260363.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58842892 + ... + 58843508.

It is an arithmetic number, because the mean of its divisors is an integer number (204377544).

Almost surely, 2^36306254400 is an apocalyptic number.

36306254400 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 36306254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68670854784).

36306254400 is an abundant number, since it is smaller than the sum of its proper divisors (101035455168).

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

36306254400 is a wasteful number, since it uses less digits than its factorization.

36306254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 36306254400 in words is "thirty-six billion, three hundred six million, two hundred fifty-four thousand, four hundred".