34741153032060 has 192 divisors, whose sum is σ = 104553235551744. Its totient is φ = 8588263833600.

The previous prime is 34741153032059. The next prime is 34741153032067. The reversal of 34741153032060 is 6023035114743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34741153032067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27402580 + ... + 28642340.

It is an arithmetic number, because the mean of its divisors is an integer number (544548101832).

Almost surely, 2^{34741153032060} is an apocalyptic number.

34741153032060 is a gapful number since it is divisible by the number (30) 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 34741153032060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52276617775872).

34741153032060 is an abundant number, since it is smaller than the sum of its proper divisors (69812082519684).

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

34741153032060 is a wasteful number, since it uses less digits than its factorization.

34741153032060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240204 (or 1240202 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 34741153032060 in words is "thirty-four trillion, seven hundred forty-one billion, one hundred fifty-three million, thirty-two thousand, sixty".