3430298880 has 216 divisors, whose sum is σ = 11938268160. Its totient is φ = 909373440.

The previous prime is 3430298869. The next prime is 3430298903. The reversal of 3430298880 is 888920343.

It is a super-2 number, since 2×3430298880² = 23533900812258508800, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2199541 + ... + 2201099.

It is an arithmetic number, because the mean of its divisors is an integer number (55269760).

Almost surely, 2^3430298880 is an apocalyptic number.

3430298880 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 3430298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969134080).

3430298880 is an abundant number, since it is smaller than the sum of its proper divisors (8507969280).

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

3430298880 is a wasteful number, since it uses less digits than its factorization.

3430298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3430298880 is about 58568.7534441361. The cubic root of 3430298880 is about 1508.1480856576.

The spelling of 3430298880 in words is "three billion, four hundred thirty million, two hundred ninety-eight thousand, eight hundred eighty".