36369120 has 96 divisors (see below), whose sum is σ = 121328928. Its totient is φ = 9125888.

The previous prime is 36369101. The next prime is 36369131. The reversal of 36369120 is 2196363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5932 + ... + 10388.

It is an arithmetic number, because the mean of its divisors is an integer number (1263843).

Almost surely, 2^36369120 is an apocalyptic number.

36369120 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 36369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60664464).

36369120 is an abundant number, since it is smaller than the sum of its proper divisors (84959808).

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

36369120 is a wasteful number, since it uses less digits than its factorization.

36369120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 36369120 is about 6030.6815535228. The cubic root of 36369120 is about 331.3174150199.

The spelling of 36369120 in words is "thirty-six million, three hundred sixty-nine thousand, one hundred twenty".