3420466852608 has 432 divisors, whose sum is σ = 10966202180640. Its totient is φ = 1051168555008.

The previous prime is 3420466852471. The next prime is 3420466852643. The reversal of 3420466852608 is 8062586640243.

It is a happy number.

3420466852608 is a `hidden beast` number, since 3 + 4 + 20 + 4 + 6 + 6 + 8 + 5 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1491698310 + ... + 1491700602.

It is an arithmetic number, because the mean of its divisors is an integer number (25384727270).

Almost surely, 2^{3420466852608} 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 3420466852608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483101090320).

3420466852608 is an abundant number, since it is smaller than the sum of its proper divisors (7545735328032).

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

3420466852608 is a wasteful number, since it uses less digits than its factorization.

3420466852608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3420466852608 in words is "three trillion, four hundred twenty billion, four hundred sixty-six million, eight hundred fifty-two thousand, six hundred eight".