36354513360 has 320 divisors, whose sum is σ = 130170240000. Its totient is φ = 8300666880.

The previous prime is 36354513331. The next prime is 36354513367. The reversal of 36354513360 is 6331545363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36354513367) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8976616 + ... + 8980664.

It is an arithmetic number, because the mean of its divisors is an integer number (406782000).

Almost surely, 2^36354513360 is an apocalyptic number.

36354513360 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 36354513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65085120000).

36354513360 is an abundant number, since it is smaller than the sum of its proper divisors (93815726640).

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

36354513360 is a wasteful number, since it uses less digits than its factorization.

36354513360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 39.

The spelling of 36354513360 in words is "thirty-six billion, three hundred fifty-four million, five hundred thirteen thousand, three hundred sixty".