3678183040 has 192 divisors, whose sum is σ = 10426478760. Its totient is φ = 1236738048.

The previous prime is 3678182983. The next prime is 3678183043. The reversal of 3678183040 is 403818763.

3678183040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3678179904 + 3136 = 60648^2 + 56^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3678182984 and 3678183002.

It is not an unprimeable number, because it can be changed into a prime (3678183043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1660974 + ... + 1663186.

Almost surely, 2^3678183040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213239380).

3678183040 is an abundant number, since it is smaller than the sum of its proper divisors (6748295720).

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

3678183040 is a wasteful number, since it uses less digits than its factorization.

3678183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 3678183040 is about 60648.0258541034. The cubic root of 3678183040 is about 1543.6343913163.

The spelling of 3678183040 in words is "three billion, six hundred seventy-eight million, one hundred eighty-three thousand, forty".