34968029616 has 160 divisors (see below), whose sum is σ = 108299179520. Its totient is φ = 10738780416.

The previous prime is 34968029587. The next prime is 34968029617. The reversal of 34968029616 is 61692086943.

34968029616 is a `hidden beast` number, since 349 + 6 + 8 + 0 + 296 + 1 + 6 = 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 (34968029617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3066261 + ... + 3077643.

It is an arithmetic number, because the mean of its divisors is an integer number (676869872).

Almost surely, 2^34968029616 is an apocalyptic number.

34968029616 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 34968029616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54149589760).

34968029616 is an abundant number, since it is smaller than the sum of its proper divisors (73331149904).

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

34968029616 is a wasteful number, since it uses less digits than its factorization.

34968029616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11960 (or 11948 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 34968029616 in words is "thirty-four billion, nine hundred sixty-eight million, twenty-nine thousand, six hundred sixteen".