36983040 has 72 divisors (see below), whose sum is σ = 118126848. Its totient is φ = 9861120.

The previous prime is 36983039. The next prime is 36983059. The reversal of 36983040 is 4038963.

It is a junction number, because it is equal to n+sod(n) for n = 36982992 and 36983010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976 + ... + 8655.

Almost surely, 2^36983040 is an apocalyptic number.

36983040 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 36983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59063424).

36983040 is an abundant number, since it is smaller than the sum of its proper divisors (81143808).

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

36983040 is an equidigital number, since it uses as much as digits as its factorization.

36983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 36983040 is about 6081.3682670925. The cubic root of 36983040 is about 333.1712634350.

The spelling of 36983040 in words is "thirty-six million, nine hundred eighty-three thousand, forty".