34963061952 has 448 divisors, whose sum is σ = 117610859520. Its totient is φ = 8921235456.

The previous prime is 34963061941. The next prime is 34963061971. The reversal of 34963061952 is 25916036943.

34963061952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×34963061952³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129974074 + ... + 129974342.

It is an arithmetic number, because the mean of its divisors is an integer number (262524240).

Almost surely, 2^34963061952 is an apocalyptic number.

34963061952 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 34963061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58805429760).

34963061952 is an abundant number, since it is smaller than the sum of its proper divisors (82647797568).

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

34963061952 is a wasteful number, since it uses less digits than its factorization.

34963061952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 34963061952 in words is "thirty-four billion, nine hundred sixty-three million, sixty-one thousand, nine hundred fifty-two".