34818664320 has 1024 divisors, whose sum is σ = 146644992000. Its totient is φ = 7713792000.

The previous prime is 34818664303. The next prime is 34818664337. The reversal of 34818664320 is 2346681843.

34818664320 is a `hidden beast` number, since 3 + 481 + 86 + 64 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34818664303) and next prime (34818664337).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111956965 + ... + 111957275.

It is an arithmetic number, because the mean of its divisors is an integer number (143208000).

Almost surely, 2^34818664320 is an apocalyptic number.

34818664320 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 34818664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73322496000).

34818664320 is an abundant number, since it is smaller than the sum of its proper divisors (111826327680).

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

34818664320 is a wasteful number, since it uses less digits than its factorization.

34818664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 34818664320 in words is "thirty-four billion, eight hundred eighteen million, six hundred sixty-four thousand, three hundred twenty".