36345120 has 192 divisors, whose sum is σ = 135717120. Its totient is φ = 7999488.

The previous prime is 36345109. The next prime is 36345131. The reversal of 36345120 is 2154363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36345109) and next prime (36345131).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97254 + ... + 97626.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 2^36345120 is an apocalyptic number.

36345120 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 36345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67858560).

36345120 is an abundant number, since it is smaller than the sum of its proper divisors (99372000).

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

36345120 is a wasteful number, since it uses less digits than its factorization.

36345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36345120 is about 6028.6914002958. The cubic root of 36345120 is about 331.2445201419.

Adding to 36345120 its reverse (2154363), we get a palindrome (38499483).

The spelling of 36345120 in words is "thirty-six million, three hundred forty-five thousand, one hundred twenty".