34400041200 has 480 divisors, whose sum is σ = 141402616320. Its totient is φ = 7780147200.

The previous prime is 34400041187. The next prime is 34400041201. The reversal of 34400041200 is 214000443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400041201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7330855 + ... + 7335545.

It is an arithmetic number, because the mean of its divisors is an integer number (294588784).

Almost surely, 2^34400041200 is an apocalyptic number.

34400041200 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 34400041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70701308160).

34400041200 is an abundant number, since it is smaller than the sum of its proper divisors (107002575120).

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

34400041200 is a wasteful number, since it uses less digits than its factorization.

34400041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34400041200 its reverse (214000443), we get a palindrome (34614041643).

The spelling of 34400041200 in words is "thirty-four billion, four hundred million, forty-one thousand, two hundred".