34553514000 has 320 divisors, whose sum is σ = 118464203520. Its totient is φ = 8640000000.

The previous prime is 34553513993. The next prime is 34553514013. The reversal of 34553514000 is 41535543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11512500 + ... + 11515500.

It is an arithmetic number, because the mean of its divisors is an integer number (370200636).

Almost surely, 2^34553514000 is an apocalyptic number.

34553514000 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 34553514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59232101760).

34553514000 is an abundant number, since it is smaller than the sum of its proper divisors (83910689520).

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

34553514000 is a wasteful number, since it uses less digits than its factorization.

34553514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 34553514000 in words is "thirty-four billion, five hundred fifty-three million, five hundred fourteen thousand".