36944640 has 144 divisors (see below), whose sum is σ = 131224800. Its totient is φ = 9842688.

The previous prime is 36944629. The next prime is 36944651. The reversal of 36944640 is 4644963.

36944640 is a `hidden beast` number, since 3 + 6 + 9 + 4 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (36944629) and next prime (36944651).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 36944595 and 36944604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34026 + ... + 35094.

Almost surely, 2^36944640 is an apocalyptic number.

36944640 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 36944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65612400).

36944640 is an abundant number, since it is smaller than the sum of its proper divisors (94280160).

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

36944640 is a wasteful number, since it uses less digits than its factorization.

36944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36944640 is about 6078.2102628981. The cubic root of 36944640 is about 333.0559113975.

The spelling of 36944640 in words is "thirty-six million, nine hundred forty-four thousand, six hundred forty".