3681616440 has 64 divisors (see below), whose sum is σ = 11525068800. Its totient is φ = 939078272.

The previous prime is 3681616429. The next prime is 3681616459. The reversal of 3681616440 is 446161863.

It is a super-2 number, since 2×3681616440² = 27108599222556547200, which contains 22 as substring.

It is a congruent number.

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, 664200 + ... + 669719.

It is an arithmetic number, because the mean of its divisors is an integer number (180079200).

Almost surely, 2^3681616440 is an apocalyptic number.

3681616440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3681616440 is an abundant number, since it is smaller than the sum of its proper divisors (7843452360).

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

3681616440 is a wasteful number, since it uses less digits than its factorization.

3681616440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333956 (or 1333952 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3681616440 is about 60676.3252018446. The cubic root of 3681616440 is about 1544.1145437944.

The spelling of 3681616440 in words is "three billion, six hundred eighty-one million, six hundred sixteen thousand, four hundred forty".