3458851155072 has 320 divisors, whose sum is σ = 10799783174400. Its totient is φ = 1097461094400.

The previous prime is 3458851155043. The next prime is 3458851155077. The reversal of 3458851155072 is 2705511588543.

3458851155072 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 8 + 5 + 11 + 550 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3458851155077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19517679 + ... + 19694097.

It is an arithmetic number, because the mean of its divisors is an integer number (33749322420).

Almost surely, 2^{3458851155072} is an apocalyptic number.

3458851155072 is a gapful number since it is divisible by the number (32) 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 3458851155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399891587200).

3458851155072 is an abundant number, since it is smaller than the sum of its proper divisors (7340932019328).

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

3458851155072 is a wasteful number, since it uses less digits than its factorization.

3458851155072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176537 (or 176516 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 3458851155072 in words is "three trillion, four hundred fifty-eight billion, eight hundred fifty-one million, one hundred fifty-five thousand, seventy-two".