36004668 has 48 divisors (see below), whose sum is σ = 97380864. Its totient is φ = 10140480.

The previous prime is 36004667. The next prime is 36004669. The reversal of 36004668 is 86640063.

It is an interprime number because it is at equal distance from previous prime (36004667) and next prime (36004669).

It is a super-2 number, since 2×36004668² = 2592672235580448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36004667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2946 + ... + 8982.

It is an arithmetic number, because the mean of its divisors is an integer number (2028768).

Almost surely, 2^36004668 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 36004668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48690432).

36004668 is an abundant number, since it is smaller than the sum of its proper divisors (61376196).

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

36004668 is a wasteful number, since it uses less digits than its factorization.

36004668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 36004668 is about 6000.3889873907. The cubic root of 36004668 is about 330.2069959360.

The spelling of 36004668 in words is "thirty-six million, four thousand, six hundred sixty-eight".