34334551200 has 144 divisors (see below), whose sum is σ = 111864152736. Its totient is φ = 9147264000.

The previous prime is 34334551123. The next prime is 34334551201. The reversal of 34334551200 is 215543343.

It is a super-2 number, since 2×34334551200² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34334551201) 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 23 ways as a sum of consecutive naturals, for example, 2785050 + ... + 2797350.

It is an arithmetic number, because the mean of its divisors is an integer number (776834394).

Almost surely, 2^34334551200 is an apocalyptic number.

34334551200 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 34334551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55932076368).

34334551200 is an abundant number, since it is smaller than the sum of its proper divisors (77529601536).

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

34334551200 is a wasteful number, since it uses less digits than its factorization.

34334551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13487 (or 13474 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 34334551200 in words is "thirty-four billion, three hundred thirty-four million, five hundred fifty-one thousand, two hundred".