3484114560 has 384 divisors, whose sum is σ = 12791338560. Its totient is φ = 905748480.

The previous prime is 3484114553. The next prime is 3484114577. The reversal of 3484114560 is 654114843.

3484114560 is a `hidden beast` number, since 3 + 4 + 84 + 1 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 6687100 + ... + 6687620.

Almost surely, 2^3484114560 is an apocalyptic number.

3484114560 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 3484114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395669280).

3484114560 is an abundant number, since it is smaller than the sum of its proper divisors (9307224000).

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

3484114560 is an equidigital number, since it uses as much as digits as its factorization.

3484114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3484114560 is about 59026.3886748969. The cubic root of 3484114560 is about 1515.9939756979.

The spelling of 3484114560 in words is "three billion, four hundred eighty-four million, one hundred fourteen thousand, five hundred sixty".