36334080 has 240 divisors, whose sum is σ = 134053920. Its totient is φ = 9068544.

The previous prime is 36334069. The next prime is 36334141. The reversal of 36334080 is 8043363.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437719 + ... + 437801.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 2^36334080 is an apocalyptic number.

36334080 is a gapful number since it is divisible by the number (30) 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 36334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

36334080 is an abundant number, since it is smaller than the sum of its proper divisors (97719840).

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

36334080 is a wasteful number, since it uses less digits than its factorization.

36334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36334080 is about 6027.7757091650. The cubic root of 36334080 is about 331.2109777220.

It can be divided in two parts, 363 and 34080, that added together give a palindrome (34443).

The spelling of 36334080 in words is "thirty-six million, three hundred thirty-four thousand, eighty".