3458306880 has 448 divisors, whose sum is σ = 14060789760. Its totient is φ = 783820800.

The previous prime is 3458306857. The next prime is 3458306893. The reversal of 3458306880 is 886038543.

3458306880 is a `hidden beast` number, since 3 + 4 + 583 + 0 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12761145 + ... + 12761415.

Almost surely, 2^3458306880 is an apocalyptic number.

3458306880 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 3458306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030394880).

3458306880 is an abundant number, since it is smaller than the sum of its proper divisors (10602482880).

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

3458306880 is a wasteful number, since it uses less digits than its factorization.

3458306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3458306880 is about 58807.3709665719. The cubic root of 3458306880 is about 1512.2415839732.

The spelling of 3458306880 in words is "three billion, four hundred fifty-eight million, three hundred six thousand, eight hundred eighty".