36719104 has 40 divisors (see below), whose sum is σ = 75927060. Its totient is φ = 17719296.

The previous prime is 36719101. The next prime is 36719131. The reversal of 36719104 is 40191763.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36000000 + 719104 = 6000^2 + 848^2 .

It is not an unprimeable number, because it can be changed into a prime (36719101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13612 + ... + 16084.

Almost surely, 2^36719104 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 36719104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37963530).

36719104 is an abundant number, since it is smaller than the sum of its proper divisors (39207956).

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

36719104 is an equidigital number, since it uses as much as digits as its factorization.

36719104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 36719104 is about 6059.6290315497. The cubic root of 36719104 is about 332.3767919335.

It can be divided in two parts, 36 and 719104, that multiplied together give a square (25887744 = 5088²).

The spelling of 36719104 in words is "thirty-six million, seven hundred nineteen thousand, one hundred four".