36747360 has 216 divisors, whose sum is σ = 136687824. Its totient is φ = 8985600.

The previous prime is 36747341. The next prime is 36747377. The reversal of 36747360 is 6374763.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 243285 + ... + 243435.

It is an arithmetic number, because the mean of its divisors is an integer number (632814).

Almost surely, 2^36747360 is an apocalyptic number.

36747360 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 36747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68343912).

36747360 is an abundant number, since it is smaller than the sum of its proper divisors (99940464).

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

36747360 is a wasteful number, since it uses less digits than its factorization.

36747360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 36747360 is about 6061.9600790503. The cubic root of 36747360 is about 332.4620266808.

The spelling of 36747360 in words is "thirty-six million, seven hundred forty-seven thousand, three hundred sixty".