3678405720 has 128 divisors (see below), whose sum is σ = 12062442240. Its totient is φ = 889955840.

The previous prime is 3678405683. The next prime is 3678405743. The reversal of 3678405720 is 275048763.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732739 + ... + 737741.

It is an arithmetic number, because the mean of its divisors is an integer number (94237830).

Almost surely, 2^3678405720 is an apocalyptic number.

3678405720 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 3678405720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031221120).

3678405720 is an abundant number, since it is smaller than the sum of its proper divisors (8384036520).

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

3678405720 is a wasteful number, since it uses less digits than its factorization.

3678405720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 3678405720 is about 60649.8616651349. The cubic root of 3678405720 is about 1543.6655416212.

The spelling of 3678405720 in words is "three billion, six hundred seventy-eight million, four hundred five thousand, seven hundred twenty".