36461008272 has 80 divisors (see below), whose sum is σ = 104177984960. Its totient is φ = 10915554816.

The previous prime is 36461008271. The next prime is 36461008273. The reversal of 36461008272 is 27280016463.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36461008271) and next prime (36461008273).

It is a super-3 number, since 3×36461008272³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 36461008272.

It is not an unprimeable number, because it can be changed into a prime (36461008271) 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 15 ways as a sum of consecutive naturals, for example, 766522 + ... + 812697.

It is an arithmetic number, because the mean of its divisors is an integer number (1302224812).

Almost surely, 2^36461008272 is an apocalyptic number.

It is an amenable number.

36461008272 is an abundant number, since it is smaller than the sum of its proper divisors (67716976688).

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

36461008272 is a wasteful number, since it uses less digits than its factorization.

36461008272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579280 (or 1579274 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 36461008272 in words is "thirty-six billion, four hundred sixty-one million, eight thousand, two hundred seventy-two".