3788999760 has 640 divisors, whose sum is σ = 15918981120. Its totient is φ = 722608128.

The previous prime is 3788999743. The next prime is 3788999761. The reversal of 3788999760 is 679998873.

It is a junction number, because it is equal to n+sod(n) for n = 3788999691 and 3788999700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3788999761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9543882 + ... + 9544278.

It is an arithmetic number, because the mean of its divisors is an integer number (24873408).

Almost surely, 2^3788999760 is an apocalyptic number.

3788999760 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 3788999760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959490560).

3788999760 is an abundant number, since it is smaller than the sum of its proper divisors (12129981360).

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

3788999760 is a wasteful number, since it uses less digits than its factorization.

3788999760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 66.

The square root of 3788999760 is about 61554.8516365688. The cubic root of 3788999760 is about 1558.9835258577.

The spelling of 3788999760 in words is "three billion, seven hundred eighty-eight million, nine hundred ninety-nine thousand, seven hundred sixty".