34530914880000 has 2400 divisors, whose sum is σ = 160302709112832. Its totient is φ = 6942412800000.

The previous prime is 34530914879987. The next prime is 34530914880001. The reversal of 34530914880000 is 8841903543.

34530914880000 is a `hidden beast` number, since 34 + 53 + 0 + 91 + 488 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (34530914880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6874557489 + ... + 6874562511.

Almost surely, 2^{34530914880000} is an apocalyptic number.

34530914880000 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 34530914880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151354556416).

34530914880000 is an abundant number, since it is smaller than the sum of its proper divisors (125771794232832).

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

34530914880000 is a wasteful number, since it uses less digits than its factorization.

34530914880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 34530914880000 in words is "thirty-four trillion, five hundred thirty billion, nine hundred fourteen million, eight hundred eighty thousand".