36097459200 has 396 divisors, whose sum is σ = 141005515248. Its totient is φ = 8750284800.

The previous prime is 36097459199. The next prime is 36097459213. The reversal of 36097459200 is 295479063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-3 number, since 3×36097459200³ (a number of 33 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2527279 + ... + 2541521.

Almost surely, 2^36097459200 is an apocalyptic number.

36097459200 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 36097459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502757624).

36097459200 is an abundant number, since it is smaller than the sum of its proper divisors (104908056048).

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

36097459200 is a wasteful number, since it uses less digits than its factorization.

36097459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14290 (or 14264 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 36097459200 in words is "thirty-six billion, ninety-seven million, four hundred fifty-nine thousand, two hundred".