34031331006060 has 192 divisors, whose sum is σ = 102351142397952. Its totient is φ = 8428870754304.

The previous prime is 34031331006031. The next prime is 34031331006061. The reversal of 34031331006060 is 6060013313043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34031331006061) 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, 4696177 + ... + 9492983.

It is an arithmetic number, because the mean of its divisors is an integer number (533078866656).

Almost surely, 2^{34031331006060} is an apocalyptic number.

34031331006060 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 34031331006060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51175571198976).

34031331006060 is an abundant number, since it is smaller than the sum of its proper divisors (68319811391892).

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

34031331006060 is a wasteful number, since it uses less digits than its factorization.

34031331006060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796992 (or 4796990 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 34031331006060 in words is "thirty-four trillion, thirty-one billion, three hundred thirty-one million, six thousand, sixty".