3680809440 has 576 divisors, whose sum is σ = 15115984128. Its totient is φ = 744038400.

The previous prime is 3680809421. The next prime is 3680809441. The reversal of 3680809440 is 449080863.

3680809440 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 super-2 number, since 2×3680809440² = 27096716267186227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3680809392 and 3680809401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680809441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10607347 + ... + 10607693.

It is an arithmetic number, because the mean of its divisors is an integer number (26243028).

Almost surely, 2^3680809440 is an apocalyptic number.

3680809440 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 3680809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557992064).

3680809440 is an abundant number, since it is smaller than the sum of its proper divisors (11435174688).

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

3680809440 is a wasteful number, since it uses less digits than its factorization.

3680809440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3680809440 is about 60669.6747972164. The cubic root of 3680809440 is about 1544.0017136906.

The spelling of 3680809440 in words is "three billion, six hundred eighty million, eight hundred nine thousand, four hundred forty".