3460605408 has 144 divisors (see below), whose sum is σ = 11221728336. Its totient is φ = 1002147840.

The previous prime is 3460605383. The next prime is 3460605437. The reversal of 3460605408 is 8045060643.

3460605408 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 605 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36463 + ... + 90833.

It is an arithmetic number, because the mean of its divisors is an integer number (77928669).

Almost surely, 2^3460605408 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 3460605408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610864168).

3460605408 is an abundant number, since it is smaller than the sum of its proper divisors (7761122928).

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

3460605408 is a wasteful number, since it uses less digits than its factorization.

3460605408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54417 (or 54406 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3460605408 is about 58826.9105767080. The cubic root of 3460605408 is about 1512.5765416994.

The spelling of 3460605408 in words is "three billion, four hundred sixty million, six hundred five thousand, four hundred eight".