3880689120 has 576 divisors, whose sum is σ = 17058263040. Its totient is φ = 779673600.

The previous prime is 3880689107. The next prime is 3880689133. The reversal of 3880689120 is 219860883.

It is an interprime number because it is at equal distance from previous prime (3880689107) and next prime (3880689133).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3436716 + ... + 3437844.

It is an arithmetic number, because the mean of its divisors is an integer number (29615040).

Almost surely, 2^3880689120 is an apocalyptic number.

3880689120 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 3880689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8529131520).

3880689120 is an abundant number, since it is smaller than the sum of its proper divisors (13177573920).

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

3880689120 is a wasteful number, since it uses less digits than its factorization.

3880689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3880689120 is about 62295.1773414283. The cubic root of 3880689120 is about 1571.4586252261.

The spelling of 3880689120 in words is "three billion, eight hundred eighty million, six hundred eighty-nine thousand, one hundred twenty".