3408459844608 has 1320 divisors, whose sum is σ = 13168515153024. Its totient is φ = 869518540800.

The previous prime is 3408459844567. The next prime is 3408459844633. The reversal of 3408459844608 is 8064489548043.

3408459844608 is a `hidden beast` number, since 3 + 4 + 0 + 84 + 5 + 98 + 4 + 460 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1637894128 + ... + 1637896208.

Almost surely, 2^{3408459844608} 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 3408459844608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584257576512).

3408459844608 is an abundant number, since it is smaller than the sum of its proper divisors (9760055308416).

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

3408459844608 is a wasteful number, since it uses less digits than its factorization.

3408459844608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 3408459844608 in words is "three trillion, four hundred eight billion, four hundred fifty-nine million, eight hundred forty-four thousand, six hundred eight".