3484910880 has 576 divisors, whose sum is σ = 13767376896. Its totient is φ = 794880000.

The previous prime is 3484910879. The next prime is 3484910881. The reversal of 3484910880 is 880194843.

3484910880 is a `hidden beast` number, since 3 + 484 + 91 + 0 + 8 + 80 = 666.

3484910880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3484910879) and next prime (3484910881).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (3484910881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23078805 + ... + 23078955.

It is an arithmetic number, because the mean of its divisors is an integer number (23901696).

Almost surely, 2^3484910880 is an apocalyptic number.

3484910880 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 3484910880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883688448).

3484910880 is an abundant number, since it is smaller than the sum of its proper divisors (10282466016).

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

3484910880 is a wasteful number, since it uses less digits than its factorization.

3484910880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3484910880 is about 59033.1337470746. The cubic root of 3484910880 is about 1516.1094640897.

The spelling of 3484910880 in words is "three billion, four hundred eighty-four million, nine hundred ten thousand, eight hundred eighty".