3880730880 has 216 divisors, whose sum is σ = 14460322968. Its totient is φ = 955219968.

The previous prime is 3880730873. The next prime is 3880730899. The reversal of 3880730880 is 880370883.

It can be written as a sum of positive squares in 4 ways, for example, as 129413376 + 3751317504 = 11376^2 + 61248^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136804 + ... + 162716.

Almost surely, 2^3880730880 is an apocalyptic number.

3880730880 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 3880730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230161484).

3880730880 is an abundant number, since it is smaller than the sum of its proper divisors (10579592088).

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

3880730880 is a wasteful number, since it uses less digits than its factorization.

3880730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25953 (or 25936 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3880730880 is about 62295.5125189608. The cubic root of 3880730880 is about 1571.4642620150.

The spelling of 3880730880 in words is "three billion, eight hundred eighty million, seven hundred thirty thousand, eight hundred eighty".