34405694460 has 336 divisors, whose sum is σ = 115709561856. Its totient is φ = 8559323136.

The previous prime is 34405694423. The next prime is 34405694473. The reversal of 34405694460 is 6449650443.

34405694460 is a `hidden beast` number, since 3 + 4 + 40 + 569 + 4 + 46 + 0 = 666.

It is a super-2 number, since 2×34405694460² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31477674 + ... + 31478766.

It is an arithmetic number, because the mean of its divisors is an integer number (344373696).

Almost surely, 2^34405694460 is an apocalyptic number.

34405694460 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 34405694460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57854780928).

34405694460 is an abundant number, since it is smaller than the sum of its proper divisors (81303867396).

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

34405694460 is a wasteful number, since it uses less digits than its factorization.

34405694460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

It can be divided in two parts, 344056 and 94460, that added together give a triangular number (438516 = T₉₃₆).

The spelling of 34405694460 in words is "thirty-four billion, four hundred five million, six hundred ninety-four thousand, four hundred sixty".