3464354880 has 560 divisors, whose sum is σ = 14342912640. Its totient is φ = 787110912.

The previous prime is 3464354869. The next prime is 3464354897. The reversal of 3464354880 is 884534643.

It is a tau number, because it is divible by the number of its divisors (560).

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

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 79 ways as a sum of consecutive naturals, for example, 20744557 + ... + 20744723.

It is an arithmetic number, because the mean of its divisors is an integer number (25612344).

Almost surely, 2^3464354880 is an apocalyptic number.

3464354880 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 3464354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171456320).

3464354880 is an abundant number, since it is smaller than the sum of its proper divisors (10878557760).

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

3464354880 is an equidigital number, since it uses as much as digits as its factorization.

3464354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3464354880 is about 58858.7706293633. The cubic root of 3464354880 is about 1513.1226230636.

The spelling of 3464354880 in words is "three billion, four hundred sixty-four million, three hundred fifty-four thousand, eight hundred eighty".