36349397280 has 288 divisors, whose sum is σ = 150102336384. Its totient is φ = 7819665408.

The previous prime is 36349397267. The next prime is 36349397321. The reversal of 36349397280 is 8279394363.

36349397280 is a `hidden beast` number, since 3 + 6 + 3 + 493 + 9 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65299 + ... + 277421.

It is an arithmetic number, because the mean of its divisors is an integer number (521188668).

Almost surely, 2^36349397280 is an apocalyptic number.

36349397280 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 36349397280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75051168192).

36349397280 is an abundant number, since it is smaller than the sum of its proper divisors (113752939104).

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

36349397280 is a wasteful number, since it uses less digits than its factorization.

36349397280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212168 (or 212157 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 36349397280 in words is "thirty-six billion, three hundred forty-nine million, three hundred ninety-seven thousand, two hundred eighty".