34963011072 has 480 divisors, whose sum is σ = 116358802560. Its totient is φ = 10391224320.

The previous prime is 34963011049. The next prime is 34963011073. The reversal of 34963011072 is 27011036943.

34963011072 is a `hidden beast` number, since 3 + 4 + 9 + 630 + 1 + 10 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34963011073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80745768 + ... + 80746200.

It is an arithmetic number, because the mean of its divisors is an integer number (242414172).

Almost surely, 2^34963011072 is an apocalyptic number.

34963011072 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 34963011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58179401280).

34963011072 is an abundant number, since it is smaller than the sum of its proper divisors (81395791488).

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

34963011072 is an equidigital number, since it uses as much as digits as its factorization.

34963011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 34963011072 in words is "thirty-four billion, nine hundred sixty-three million, eleven thousand, seventy-two".