3689786880 has 480 divisors, whose sum is σ = 14013103104. Its totient is φ = 891813888.

The previous prime is 3689786869. The next prime is 3689786897. The reversal of 3689786880 is 886879863.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3689786880² = 27229054439640268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29053377 + ... + 29053503.

Almost surely, 2^3689786880 is an apocalyptic number.

3689786880 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 3689786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006551552).

3689786880 is an abundant number, since it is smaller than the sum of its proper divisors (10323316224).

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

3689786880 is a wasteful number, since it uses less digits than its factorization.

3689786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 3689786880 is about 60743.6159608563. The cubic root of 3689786880 is about 1545.2559603576.

The spelling of 3689786880 in words is "three billion, six hundred eighty-nine million, seven hundred eighty-six thousand, eight hundred eighty".