34215220800 has 672 divisors, whose sum is σ = 133341465600. Its totient is φ = 8515584000.

The previous prime is 34215220783. The next prime is 34215220801. The reversal of 34215220800 is 802251243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34215220801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 38836360 + ... + 38837240.

It is an arithmetic number, because the mean of its divisors is an integer number (198424800).

Almost surely, 2^34215220800 is an apocalyptic number.

34215220800 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 34215220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66670732800).

34215220800 is an abundant number, since it is smaller than the sum of its proper divisors (99126244800).

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

34215220800 is a wasteful number, since it uses less digits than its factorization.

34215220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 34215220800 in words is "thirty-four billion, two hundred fifteen million, two hundred twenty thousand, eight hundred".