36314120 has 32 divisors (see below), whose sum is σ = 81895320. Its totient is φ = 14492160.

The previous prime is 36314101. The next prime is 36314137. The reversal of 36314120 is 2141363.

It can be written as a sum of positive squares in 4 ways, for example, as 15319396 + 20994724 = 3914^2 + 4582^2 .

It is a super-2 number, since 2×36314120² = 2637430622748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 36314092 and 36314101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23780 + ... + 25260.

Almost surely, 2^36314120 is an apocalyptic number.

It is an amenable number.

36314120 is an abundant number, since it is smaller than the sum of its proper divisors (45581200).

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

36314120 is a wasteful number, since it uses less digits than its factorization.

36314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36314120 is about 6026.1198129476. The cubic root of 36314120 is about 331.1503167479.

Adding to 36314120 its reverse (2141363), we get a palindrome (38455483).

The spelling of 36314120 in words is "thirty-six million, three hundred fourteen thousand, one hundred twenty".