36613720 has 128 divisors (see below), whose sum is σ = 99973440. Its totient is φ = 11888640.

The previous prime is 36613711. The next prime is 36613729. The reversal of 36613720 is 2731663.

36613720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36613711) and next prime (36613729).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36613729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211554 + ... + 211726.

Almost surely, 2^36613720 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 36613720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49986720).

36613720 is an abundant number, since it is smaller than the sum of its proper divisors (63359720).

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

36613720 is a wasteful number, since it uses less digits than its factorization.

36613720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 36613720 is about 6050.9272016774. The cubic root of 36613720 is about 332.0585129365.

It can be divided in two parts, 3661 and 3720, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 36613720 in words is "thirty-six million, six hundred thirteen thousand, seven hundred twenty".