36401120 has 72 divisors (see below), whose sum is σ = 100059624. Its totient is φ = 12477696.

The previous prime is 36401083. The next prime is 36401137. The reversal of 36401120 is 2110463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5519 + ... + 10161.

It is an arithmetic number, because the mean of its divisors is an integer number (1389717).

Almost surely, 2^36401120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50029812).

36401120 is an abundant number, since it is smaller than the sum of its proper divisors (63658504).

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

36401120 is a wasteful number, since it uses less digits than its factorization.

36401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 36401120 is about 6033.3340699815. The cubic root of 36401120 is about 331.4145583226.

Adding to 36401120 its reverse (2110463), we get a palindrome (38511583).

The spelling of 36401120 in words is "thirty-six million, four hundred one thousand, one hundred twenty".