3482876160 has 432 divisors, whose sum is σ = 12627014400. Its totient is φ = 885620736.

The previous prime is 3482876153. The next prime is 3482876167. The reversal of 3482876160 is 616782843.

3482876160 is a `hidden beast` number, since 3 + 4 + 8 + 28 + 7 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3482876153) and next prime (3482876167).

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

It is not an unprimeable number, because it can be changed into a prime (3482876167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39133396 + ... + 39133484.

It is an arithmetic number, because the mean of its divisors is an integer number (29229200).

Almost surely, 2^3482876160 is an apocalyptic number.

3482876160 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 3482876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313507200).

3482876160 is an abundant number, since it is smaller than the sum of its proper divisors (9144138240).

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

3482876160 is a wasteful number, since it uses less digits than its factorization.

3482876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3482876160 is about 59015.8975192278. The cubic root of 3482876160 is about 1515.8143385297.

The spelling of 3482876160 in words is "three billion, four hundred eighty-two million, eight hundred seventy-six thousand, one hundred sixty".