3869455680 has 252 divisors, whose sum is σ = 14141310300. Its totient is φ = 970948608.

The previous prime is 3869455673. The next prime is 3869455687. The reversal of 3869455680 is 865549683.

It is a happy number.

3869455680 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 4 + 556 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3869455673) and next prime (3869455687).

It can be written as a sum of positive squares in 6 ways, for example, as 1035809856 + 2833645824 = 32184^2 + 53232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3869455687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 829996 + ... + 834644.

Almost surely, 2^3869455680 is an apocalyptic number.

3869455680 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 3869455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070655150).

3869455680 is an abundant number, since it is smaller than the sum of its proper divisors (10271854620).

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

3869455680 is a wasteful number, since it uses less digits than its factorization.

3869455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 3869455680 is about 62204.9489992557. The cubic root of 3869455680 is about 1569.9408581181.

The spelling of 3869455680 in words is "three billion, eight hundred sixty-nine million, four hundred fifty-five thousand, six hundred eighty".