34805262566490 has 192 divisors, whose sum is σ = 93983844067200. Its totient is φ = 8235571448832.

The previous prime is 34805262566419. The next prime is 34805262566513. The reversal of 34805262566490 is 9466526250843.

It is a super-2 number, since 2×34805262566490² (a number of 28 digits) contains 22 as substring.

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, 32854396 + ... + 33897224.

It is an arithmetic number, because the mean of its divisors is an integer number (489499187850).

Almost surely, 2^{34805262566490} is an apocalyptic number.

34805262566490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34805262566490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46991922033600).

34805262566490 is an abundant number, since it is smaller than the sum of its proper divisors (59178581500710).

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

34805262566490 is a wasteful number, since it uses less digits than its factorization.

34805262566490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043121 (or 1043108 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 34805262566490 in words is "thirty-four trillion, eight hundred five billion, two hundred sixty-two million, five hundred sixty-six thousand, four hundred ninety".