34165980023040 has 864 divisors, whose sum is σ = 127052224185600. Its totient is φ = 8692243660800.

The previous prime is 34165980023033. The next prime is 34165980023069. The reversal of 34165980023040 is 4032008956143.

34165980023040 is a `hidden beast` number, since 3 + 4 + 16 + 598 + 0 + 0 + 2 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2358056116 + ... + 2358070604.

It is an arithmetic number, because the mean of its divisors is an integer number (147051185400).

Almost surely, 2^{34165980023040} is an apocalyptic number.

34165980023040 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 34165980023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63526112092800).

34165980023040 is an abundant number, since it is smaller than the sum of its proper divisors (92886244162560).

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

34165980023040 is a wasteful number, since it uses less digits than its factorization.

34165980023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14652 (or 14601 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 34165980023040 its reverse (4032008956143), we get a palindrome (38197988979183).

The spelling of 34165980023040 in words is "thirty-four trillion, one hundred sixty-five billion, nine hundred eighty million, twenty-three thousand, forty".