3354610560 has 384 divisors, whose sum is σ = 12570798240. Its totient is φ = 758661120.

The previous prime is 3354610549. The next prime is 3354610573. The reversal of 3354610560 is 650164533.

3354610560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 57919²-1.

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

It is a super-2 number, since 2×3354610560² = 22506824018527027200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17028382 + ... + 17028578.

Almost surely, 2^3354610560 is an apocalyptic number.

3354610560 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 3354610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285399120).

3354610560 is an abundant number, since it is smaller than the sum of its proper divisors (9216187680).

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

3354610560 is a wasteful number, since it uses less digits than its factorization.

3354610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 3354610560 is about 57918.9999913673. Note that the first 5 decimals coincide. The cubic root of 3354610560 is about 1496.9732388080.

The spelling of 3354610560 in words is "three billion, three hundred fifty-four million, six hundred ten thousand, five hundred sixty".