36347904 has 168 divisors, whose sum is σ = 115008660. Its totient is φ = 11010048.

The previous prime is 36347891. The next prime is 36347911. The reversal of 36347904 is 40974363.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 921600 = 5952^2 + 960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1253362 + ... + 1253390.

Almost surely, 2^36347904 is an apocalyptic number.

36347904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57504330).

36347904 is an abundant number, since it is smaller than the sum of its proper divisors (78660756).

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

36347904 is a wasteful number, since it uses less digits than its factorization.

36347904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 36347904 is about 6028.9222917533. The cubic root of 36347904 is about 331.2529775928.

The spelling of 36347904 in words is "thirty-six million, three hundred forty-seven thousand, nine hundred four".