3484217880 has 384 divisors, whose sum is σ = 13564998720. Its totient is φ = 764375040.

The previous prime is 3484217837. The next prime is 3484217897. The reversal of 3484217880 is 887124843.

3484217880 is a `hidden beast` number, since 3 + 484 + 21 + 78 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2727802 + ... + 2729078.

Almost surely, 2^3484217880 is an apocalyptic number.

3484217880 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 3484217880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782499360).

3484217880 is an abundant number, since it is smaller than the sum of its proper divisors (10080780840).

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

3484217880 is a wasteful number, since it uses less digits than its factorization.

3484217880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 3484217880 is about 59027.2638701812. The cubic root of 3484217880 is about 1516.0089609447.

The spelling of 3484217880 in words is "three billion, four hundred eighty-four million, two hundred seventeen thousand, eight hundred eighty".