3416042560 has 224 divisors, whose sum is σ = 9945745920. Its totient is φ = 1090879488.

The previous prime is 3416042467. The next prime is 3416042561. The reversal of 3416042560 is 652406143.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (3416042561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4150309 + ... + 4151131.

Almost surely, 2^3416042560 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 3416042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972872960).

3416042560 is an abundant number, since it is smaller than the sum of its proper divisors (6529703360).

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

3416042560 is a wasteful number, since it uses less digits than its factorization.

3416042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 3416042560 is about 58446.9208769803. The cubic root of 3416042560 is about 1506.0558970968.

The spelling of 3416042560 in words is "three billion, four hundred sixteen million, forty-two thousand, five hundred sixty".