34731134208 has 432 divisors, whose sum is σ = 112142016000. Its totient is φ = 10590289920.

The previous prime is 34731134143. The next prime is 34731134213. The reversal of 34731134208 is 80243113743.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77351968 + ... + 77352416.

It is an arithmetic number, because the mean of its divisors is an integer number (259588000).

Almost surely, 2^34731134208 is an apocalyptic number.

34731134208 is a gapful number since it is divisible by the number (38) 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 34731134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56071008000).

34731134208 is an abundant number, since it is smaller than the sum of its proper divisors (77410881792).

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

34731134208 is a wasteful number, since it uses less digits than its factorization.

34731134208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34731134208 in words is "thirty-four billion, seven hundred thirty-one million, one hundred thirty-four thousand, two hundred eight".