36006408 has 96 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 10796544.

The previous prime is 36006401. The next prime is 36006413. The reversal of 36006408 is 80460063.

It is a super-2 number, since 2×36006408² = 2592922834124928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36006401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27513 + ... + 28791.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 2^36006408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36006408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

36006408 is an abundant number, since it is smaller than the sum of its proper divisors (71820792).

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

36006408 is a wasteful number, since it uses less digits than its factorization.

36006408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36006408 is about 6000.5339762391. The cubic root of 36006408 is about 330.2123151622.

The spelling of 36006408 in words is "thirty-six million, six thousand, four hundred eight".