34025467627872 has 1152 divisors, whose sum is σ = 122198707814400. Its totient is φ = 9170619752448.

The previous prime is 34025467627871. The next prime is 34025467628003. The reversal of 34025467627872 is 27872676452043.

34025467627872 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 546 + 7 + 6 + 2 + 7 + 87 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34025467627871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10446872068 + ... + 10446875324.

It is an arithmetic number, because the mean of its divisors is an integer number (106075267200).

Almost surely, 2^{34025467627872} is an apocalyptic number.

34025467627872 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 34025467627872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61099353907200).

34025467627872 is an abundant number, since it is smaller than the sum of its proper divisors (88173240186528).

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

34025467627872 is a wasteful number, since it uses less digits than its factorization.

34025467627872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 34025467627872 in words is "thirty-four trillion, twenty-five billion, four hundred sixty-seven million, six hundred twenty-seven thousand, eight hundred seventy-two".