36319104 has 160 divisors (see below), whose sum is σ = 112559040. Its totient is φ = 11612160.

The previous prime is 36319103. The next prime is 36319121. The reversal of 36319104 is 40191363.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36319103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321352 + ... + 321464.

It is an arithmetic number, because the mean of its divisors is an integer number (703494).

Almost surely, 2^36319104 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 36319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56279520).

36319104 is an abundant number, since it is smaller than the sum of its proper divisors (76239936).

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

36319104 is a wasteful number, since it uses less digits than its factorization.

36319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 36319104 is about 6026.5333318584. The cubic root of 36319104 is about 331.1654658384.

The spelling of 36319104 in words is "thirty-six million, three hundred nineteen thousand, one hundred four".