369216120 has 128 divisors (see below), whose sum is σ = 1363299840. Its totient is φ = 77898240.

The previous prime is 369216119. The next prime is 369216131. The reversal of 369216120 is 21612963.

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 31 ways as a sum of consecutive naturals, for example, 5986 + ... + 27825.

It is an arithmetic number, because the mean of its divisors is an integer number (10650780).

Almost surely, 2^369216120 is an apocalyptic number.

369216120 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 369216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681649920).

369216120 is an abundant number, since it is smaller than the sum of its proper divisors (994083720).

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

369216120 is a wasteful number, since it uses less digits than its factorization.

369216120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33845 (or 33841 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 369216120 is about 19214.9972677594. The cubic root of 369216120 is about 717.3980932292.

The spelling of 369216120 in words is "three hundred sixty-nine million, two hundred sixteen thousand, one hundred twenty".