34225100800 has 288 divisors, whose sum is σ = 94057104960. Its totient is φ = 12246220800.

The previous prime is 34225100687. The next prime is 34225100801. The reversal of 34225100800 is 800152243.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225100801) 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 23 ways as a sum of consecutive naturals, for example, 37733947 + ... + 37734853.

It is an arithmetic number, because the mean of its divisors is an integer number (326587170).

Almost surely, 2^34225100800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34225100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47028552480).

34225100800 is an abundant number, since it is smaller than the sum of its proper divisors (59832004160).

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

34225100800 is a wasteful number, since it uses less digits than its factorization.

34225100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 34225100800 in words is "thirty-four billion, two hundred twenty-five million, one hundred thousand, eight hundred".