36743040 has 96 divisors (see below), whose sum is σ = 126898200. Its totient is φ = 9796608.

The previous prime is 36743023. The next prime is 36743053. The reversal of 36743040 is 4034763.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 36742995 and 36743013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2571 + ... + 8949.

Almost surely, 2^36743040 is an apocalyptic number.

36743040 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 36743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63449100).

36743040 is an abundant number, since it is smaller than the sum of its proper divisors (90155160).

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

36743040 is a wasteful number, since it uses less digits than its factorization.

36743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 36743040 is about 6061.6037481841. The cubic root of 36743040 is about 332.4489981509.

The spelling of 36743040 in words is "thirty-six million, seven hundred forty-three thousand, forty".