3036983040 has 432 divisors, whose sum is σ = 12936950208. Its totient is φ = 640548864.

The previous prime is 3036982981. The next prime is 3036983041. The reversal of 3036983040 is 403896303.

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 = 3036982986 and 3036983004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3036983041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046872 + ... + 1049768.

It is an arithmetic number, because the mean of its divisors is an integer number (29946644).

Almost surely, 2^3036983040 is an apocalyptic number.

3036983040 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 3036983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468475104).

3036983040 is an abundant number, since it is smaller than the sum of its proper divisors (9899967168).

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

3036983040 is a wasteful number, since it uses less digits than its factorization.

3036983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3036983040 is about 55108.8290566947. The cubic root of 3036983040 is about 1448.1519126763.

The spelling of 3036983040 in words is "three billion, thirty-six million, nine hundred eighty-three thousand, forty".