34323377806080 has 576 divisors, whose sum is σ = 137159351562240. Its totient is φ = 8052402585600.

The previous prime is 34323377806063. The next prime is 34323377806121. The reversal of 34323377806080 is 8060877332343.

34323377806080 is a `hidden beast` number, since 3 + 4 + 3 + 23 + 3 + 7 + 7 + 8 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×34323377806080² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10328724 + ... + 13241196.

It is an arithmetic number, because the mean of its divisors is an integer number (238123874240).

Almost surely, 2^{34323377806080} is an apocalyptic number.

34323377806080 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 34323377806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68579675781120).

34323377806080 is an abundant number, since it is smaller than the sum of its proper divisors (102835973756160).

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

34323377806080 is a wasteful number, since it uses less digits than its factorization.

34323377806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912545 (or 2912525 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 34323377806080 in words is "thirty-four trillion, three hundred twenty-three billion, three hundred seventy-seven million, eight hundred six thousand, eighty".