36741120 has 224 divisors, whose sum is σ = 132112512. Its totient is φ = 8650752.

The previous prime is 36741113. The next prime is 36741121. The reversal of 36741120 is 2114763.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36741121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597429 + ... + 1597451.

It is an arithmetic number, because the mean of its divisors is an integer number (589788).

Almost surely, 2^36741120 is an apocalyptic number.

36741120 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 36741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66056256).

36741120 is an abundant number, since it is smaller than the sum of its proper divisors (95371392).

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

36741120 is a wasteful number, since it uses less digits than its factorization.

36741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 36741120 is about 6061.4453721864. The cubic root of 36741120 is about 332.4432073653.

Adding to 36741120 its reverse (2114763), we get a palindrome (38855883).

The spelling of 36741120 in words is "thirty-six million, seven hundred forty-one thousand, one hundred twenty".