3881880576 has 264 divisors, whose sum is σ = 13488583680. Its totient is φ = 1050402816.

The previous prime is 3881880571. The next prime is 3881880617. The reversal of 3881880576 is 6750881883.

It is a happy number.

It is a super-5 number, since 5×3881880576⁵ (a number of 49 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (3881880571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224145 + ... + 1227311.

It is an arithmetic number, because the mean of its divisors is an integer number (51093120).

Almost surely, 2^3881880576 is an apocalyptic number.

3881880576 is a gapful number since it is divisible by the number (36) 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 3881880576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744291840).

3881880576 is an abundant number, since it is smaller than the sum of its proper divisors (9606703104).

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

3881880576 is a wasteful number, since it uses less digits than its factorization.

3881880576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 3881880576 is about 62304.7395949939. The cubic root of 3881880576 is about 1571.6194327672.

The spelling of 3881880576 in words is "three billion, eight hundred eighty-one million, eight hundred eighty thousand, five hundred seventy-six".