34794060617472 has 432 divisors, whose sum is σ = 107282602224000. Its totient is φ = 9976086282240.

The previous prime is 34794060617447. The next prime is 34794060617509. The reversal of 34794060617472 is 27471606049743.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150313279 + ... + 150544577.

It is an arithmetic number, because the mean of its divisors is an integer number (248339357000).

Almost surely, 2^{34794060617472} is an apocalyptic number.

34794060617472 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 34794060617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53641301112000).

34794060617472 is an abundant number, since it is smaller than the sum of its proper divisors (72488541606528).

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

34794060617472 is a wasteful number, since it uses less digits than its factorization.

34794060617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231424 (or 231397 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 60.

The spelling of 34794060617472 in words is "thirty-four trillion, seven hundred ninety-four billion, sixty million, six hundred seventeen thousand, four hundred seventy-two".