34988196672 has 448 divisors, whose sum is σ = 127964793600. Its totient is φ = 9210101760.

The previous prime is 34988196671. The next prime is 34988196673. The reversal of 34988196672 is 27669188943.

34988196672 is a `hidden beast` number, since 3 + 498 + 8 + 19 + 66 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (34988196671) and next prime (34988196673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34988196671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4196604 + ... + 4204932.

It is an arithmetic number, because the mean of its divisors is an integer number (285635700).

Almost surely, 2^34988196672 is an apocalyptic number.

34988196672 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 34988196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63982396800).

34988196672 is an abundant number, since it is smaller than the sum of its proper divisors (92976596928).

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

34988196672 is a wasteful number, since it uses less digits than its factorization.

34988196672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8375 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 34988196672 in words is "thirty-four billion, nine hundred eighty-eight million, one hundred ninety-six thousand, six hundred seventy-two".