3880275840 has 960 divisors, whose sum is σ = 17277812640. Its totient is φ = 812187648.

The previous prime is 3880275829. The next prime is 3880275851. The reversal of 3880275840 is 485720883.

It is an interprime number because it is at equal distance from previous prime (3880275829) and next prime (3880275851).

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 104872302 + ... + 104872338.

Almost surely, 2^3880275840 is an apocalyptic number.

3880275840 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 3880275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638906320).

3880275840 is an abundant number, since it is smaller than the sum of its proper divisors (13397536800).

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

3880275840 is a wasteful number, since it uses less digits than its factorization.

3880275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3880275840 is about 62291.8601423974. The cubic root of 3880275840 is about 1571.4028382720.

The spelling of 3880275840 in words is "three billion, eight hundred eighty million, two hundred seventy-five thousand, eight hundred forty".