34305130368000 has 1232 divisors, whose sum is σ = 128741763941856. Its totient is φ = 9117801676800.

The previous prime is 34305130367993. The next prime is 34305130368071. The reversal of 34305130368000 is 86303150343.

34305130368000 is a `hidden beast` number, since 3 + 4 + 30 + 513 + 0 + 36 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52534655674 + ... + 52534656326.

Almost surely, 2^{34305130368000} is an apocalyptic number.

34305130368000 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 34305130368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64370881970928).

34305130368000 is an abundant number, since it is smaller than the sum of its proper divisors (94436633573856).

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

34305130368000 is an frugal number, since it uses more digits than its factorization.

34305130368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34305130368000 in words is "thirty-four trillion, three hundred five billion, one hundred thirty million, three hundred sixty-eight thousand".