34484761962 has 80 divisors (see below), whose sum is σ = 88395901440. Its totient is φ = 9843226272.

The previous prime is 34484761931. The next prime is 34484761963. The reversal of 34484761962 is 26916748443.

34484761962 is a `hidden beast` number, since 3 + 4 + 484 + 76 + 1 + 96 + 2 = 666.

34484761962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34484761899 and 34484761908.

It is not an unprimeable number, because it can be changed into a prime (34484761963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1198023 + ... + 1226469.

It is an arithmetic number, because the mean of its divisors is an integer number (1104948768).

Almost surely, 2^34484761962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34484761962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44197950720).

34484761962 is an abundant number, since it is smaller than the sum of its proper divisors (53911139478).

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

34484761962 is a wasteful number, since it uses less digits than its factorization.

34484761962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29537 (or 29528 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 34484761962 in words is "thirty-four billion, four hundred eighty-four million, seven hundred sixty-one thousand, nine hundred sixty-two".