3683458440 has 192 divisors, whose sum is σ = 12418099200. Its totient is φ = 945907200.

The previous prime is 3683458423. The next prime is 3683458451. The reversal of 3683458440 is 448543863.

3683458440 is a `hidden beast` number, since 3 + 68 + 3 + 4 + 584 + 4 + 0 = 666.

3683458440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2666550 + ... + 2667930.

It is an arithmetic number, because the mean of its divisors is an integer number (64677600).

Almost surely, 2^3683458440 is an apocalyptic number.

3683458440 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 3683458440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209049600).

3683458440 is an abundant number, since it is smaller than the sum of its proper divisors (8734640760).

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

3683458440 is a wasteful number, since it uses less digits than its factorization.

3683458440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3683458440 is about 60691.5022058278. The cubic root of 3683458440 is about 1544.3720198984.

The spelling of 3683458440 in words is "three billion, six hundred eighty-three million, four hundred fifty-eight thousand, four hundred forty".