34348731696 has 400 divisors, whose sum is σ = 109541203200. Its totient is φ = 10349047296.

The previous prime is 34348731689. The next prime is 34348731707. The reversal of 34348731696 is 69613784343.

It is a happy number.

34348731696 is a `hidden beast` number, since 3 + 43 + 487 + 31 + 6 + 96 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73551655 + ... + 73552121.

It is an arithmetic number, because the mean of its divisors is an integer number (273853008).

Almost surely, 2^34348731696 is an apocalyptic number.

34348731696 is a gapful number since it is divisible by the number (36) 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 34348731696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54770601600).

34348731696 is an abundant number, since it is smaller than the sum of its proper divisors (75192471504).

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

34348731696 is a wasteful number, since it uses less digits than its factorization.

34348731696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 623 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 34348731696 in words is "thirty-four billion, three hundred forty-eight million, seven hundred thirty-one thousand, six hundred ninety-six".