36330840 has 192 divisors, whose sum is σ = 145454400. Its totient is φ = 7658496.

The previous prime is 36330839. The next prime is 36330841. The reversal of 36330840 is 4803363.

36330840 = 634² + 635² + ... + 713².

It is an interprime number because it is at equal distance from previous prime (36330839) and next prime (36330841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36330841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32206 + ... + 33314.

It is an arithmetic number, because the mean of its divisors is an integer number (757575).

Almost surely, 2^36330840 is an apocalyptic number.

36330840 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 36330840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72727200).

36330840 is an abundant number, since it is smaller than the sum of its proper divisors (109123560).

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

36330840 is a wasteful number, since it uses less digits than its factorization.

36330840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1139 counting only the distinct ones).

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

The square root of 36330840 is about 6027.5069473208. The cubic root of 36330840 is about 331.2011324613.

The spelling of 36330840 in words is "thirty-six million, three hundred thirty thousand, eight hundred forty".