36002408 has 48 divisors (see below), whose sum is σ = 75542400. Its totient is φ = 16061760.

The previous prime is 36002381. The next prime is 36002419. The reversal of 36002408 is 80420063.

It is a happy number.

It is a super-4 number, since 4×36002408⁴ (a number of 31 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41483 + ... + 42341.

It is an arithmetic number, because the mean of its divisors is an integer number (1573800).

Almost surely, 2^36002408 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 36002408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37771200).

36002408 is an abundant number, since it is smaller than the sum of its proper divisors (39539992).

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

36002408 is a wasteful number, since it uses less digits than its factorization.

36002408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 36002408 is about 6000.2006633112. The cubic root of 36002408 is about 330.2000868002.

The spelling of 36002408 in words is "thirty-six million, two thousand, four hundred eight".