34962994048 has 64 divisors (see below), whose sum is σ = 73128124800. Its totient is φ = 16618618368.

The previous prime is 34962994043. The next prime is 34962994067. The reversal of 34962994048 is 84049926943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 34962993983 and 34962994001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34962994043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443443 + ... + 516301.

It is an arithmetic number, because the mean of its divisors is an integer number (1142626950).

Almost surely, 2^34962994048 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 34962994048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36564062400).

34962994048 is an abundant number, since it is smaller than the sum of its proper divisors (38165130752).

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

34962994048 is a wasteful number, since it uses less digits than its factorization.

34962994048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73059 (or 73047 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 58.

The spelling of 34962994048 in words is "thirty-four billion, nine hundred sixty-two million, nine hundred ninety-four thousand, forty-eight".