3689763840 has 880 divisors, whose sum is σ = 15978783744. Its totient is φ = 796262400.

The previous prime is 3689763829. The next prime is 3689763841. The reversal of 3689763840 is 483679863.

It is a super-2 number, since 2×3689763840² = 27228714389943091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689763841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89994220 + ... + 89994260.

Almost surely, 2^3689763840 is an apocalyptic number.

3689763840 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 3689763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989391872).

3689763840 is an abundant number, since it is smaller than the sum of its proper divisors (12289019904).

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

3689763840 is a wasteful number, since it uses less digits than its factorization.

3689763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3689763840 is about 60743.4263110009. The cubic root of 3689763840 is about 1545.2527440227.

It can be divided in two parts, 368976 and 3840, that added together give a triangular number (372816 = T₈₆₃).

The spelling of 3689763840 in words is "three billion, six hundred eighty-nine million, seven hundred sixty-three thousand, eight hundred forty".