34681461472 has 72 divisors (see below), whose sum is σ = 79478798616. Its totient is φ = 14853742848.

The previous prime is 34681461461. The next prime is 34681461487. The reversal of 34681461472 is 27416418643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2710963 + ... + 2723725.

It is an arithmetic number, because the mean of its divisors is an integer number (1103872203).

Almost surely, 2^34681461472 is an apocalyptic number.

34681461472 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 34681461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39739399308).

34681461472 is an abundant number, since it is smaller than the sum of its proper divisors (44797337144).

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

34681461472 is a wasteful number, since it uses less digits than its factorization.

34681461472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14520 (or 14505 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The spelling of 34681461472 in words is "thirty-four billion, six hundred eighty-one million, four hundred sixty-one thousand, four hundred seventy-two".