3462617161728 has 448 divisors, whose sum is σ = 10825991251200. Its totient is φ = 1090720235520.

The previous prime is 3462617161697. The next prime is 3462617161739. The reversal of 3462617161728 is 8271617162643.

3462617161728 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 6 + 17 + 1 + 617 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273549575 + ... + 2273551097.

Almost surely, 2^{3462617161728} is an apocalyptic number.

3462617161728 is a gapful number since it is divisible by the number (38) 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 3462617161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412995625600).

3462617161728 is an abundant number, since it is smaller than the sum of its proper divisors (7363374089472).

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

3462617161728 is a wasteful number, since it uses less digits than its factorization.

3462617161728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2088 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 3462617161728 in words is "three trillion, four hundred sixty-two billion, six hundred seventeen million, one hundred sixty-one thousand, seven hundred twenty-eight".