3406534560 has 576 divisors, whose sum is σ = 13908900096. Its totient is φ = 748339200.

The previous prime is 3406534559. The next prime is 3406534591. The reversal of 3406534560 is 654356043.

3406534560 is a `hidden beast` number, since 3 + 4 + 0 + 65 + 34 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14620204 + ... + 14620436.

It is an arithmetic number, because the mean of its divisors is an integer number (24147396).

Almost surely, 2^3406534560 is an apocalyptic number.

3406534560 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 3406534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954450048).

3406534560 is an abundant number, since it is smaller than the sum of its proper divisors (10502365536).

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

3406534560 is a wasteful number, since it uses less digits than its factorization.

3406534560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3406534560 is about 58365.5254409656. The cubic root of 3406534560 is about 1504.6573113349.

The spelling of 3406534560 in words is "three billion, four hundred six million, five hundred thirty-four thousand, five hundred sixty".