34968503291904 has 1872 divisors, whose sum is σ = 131448476024320. Its totient is φ = 9055414517760.

The previous prime is 34968503291903. The next prime is 34968503291921. The reversal of 34968503291904 is 40919230586943.

34968503291904 is a `hidden beast` number, since 3 + 4 + 96 + 8 + 503 + 29 + 19 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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 (34968503291903) 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 143 ways as a sum of consecutive naturals, for example, 193196150694 + ... + 193196150874.

Almost surely, 2^{34968503291904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34968503291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65724238012160).

34968503291904 is an abundant number, since it is smaller than the sum of its proper divisors (96479972732416).

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

34968503291904 is an frugal number, since it uses more digits than its factorization.

34968503291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 34968503291904 in words is "thirty-four trillion, nine hundred sixty-eight billion, five hundred three million, two hundred ninety-one thousand, nine hundred four".