3414008560 has 80 divisors (see below), whose sum is σ = 8140300416. Its totient is φ = 1330970624.

The previous prime is 3414008551. The next prime is 3414008573. The reversal of 3414008560 is 658004143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964554 + ... + 968086.

Almost surely, 2^3414008560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070150208).

3414008560 is an abundant number, since it is smaller than the sum of its proper divisors (4726291856).

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

3414008560 is a wasteful number, since it uses less digits than its factorization.

3414008560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 3414008560 is about 58429.5178826593. The cubic root of 3414008560 is about 1505.7569228856.

The spelling of 3414008560 in words is "three billion, four hundred fourteen million, eight thousand, five hundred sixty".