36507744 has 216 divisors, whose sum is σ = 130712400. Its totient is φ = 9580032.

The previous prime is 36507727. The next prime is 36507761. The reversal of 36507744 is 44770563.

It is an interprime number because it is at equal distance from previous prime (36507727) and next prime (36507761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36507699 and 36507708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183357 + ... + 183555.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 2^36507744 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 36507744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65356200).

36507744 is an abundant number, since it is smaller than the sum of its proper divisors (94204656).

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

36507744 is a wasteful number, since it uses less digits than its factorization.

36507744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 36507744 is about 6042.1638508071. The cubic root of 36507744 is about 331.7378295096.

Adding to 36507744 its product of nonzero digits (70560), we get a square (36578304 = 6048²).

The spelling of 36507744 in words is "thirty-six million, five hundred seven thousand, seven hundred forty-four".