36804096 has 180 divisors, whose sum is σ = 124319052. Its totient is φ = 10450944.

The previous prime is 36804077. The next prime is 36804113. The reversal of 36804096 is 69040863.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36804096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225711 + ... + 225873.

Almost surely, 2^36804096 is an apocalyptic number.

36804096 is a gapful number since it is divisible by the number (36) 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 36804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62159526).

36804096 is an abundant number, since it is smaller than the sum of its proper divisors (87514956).

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

36804096 is a wasteful number, since it uses less digits than its factorization.

36804096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36804096 is about 6066.6379486500. The cubic root of 36804096 is about 332.6330400203.

It can be divided in two parts, 3680 and 4096, that added together give a 5-th power (7776 = 6⁵).

The spelling of 36804096 in words is "thirty-six million, eight hundred four thousand, ninety-six".