3683181840 has 80 divisors (see below), whose sum is σ = 12296171328. Its totient is φ = 906628608.

The previous prime is 3683181839. The next prime is 3683181857. The reversal of 3683181840 is 481813863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3683181840³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3683181792 and 3683181801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587134 + ... + 593373.

Almost surely, 2^3683181840 is an apocalyptic number.

3683181840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3683181840 is an abundant number, since it is smaller than the sum of its proper divisors (8612989488).

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

3683181840 is a wasteful number, since it uses less digits than its factorization.

3683181840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180536 (or 1180530 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 3683181840 is about 60689.2234255803. The cubic root of 3683181840 is about 1544.3333620265. Note that the first 4 decimals are identical.

The spelling of 3683181840 in words is "three billion, six hundred eighty-three million, one hundred eighty-one thousand, eight hundred forty".