34401024000 has 1152 divisors, whose sum is σ = 148819507200. Its totient is φ = 7763558400.

The previous prime is 34401023983. The next prime is 34401024019. The reversal of 34401024000 is 42010443.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435455961 + ... + 435456039.

It is an arithmetic number, because the mean of its divisors is an integer number (129183600).

Almost surely, 2^34401024000 is an apocalyptic number.

34401024000 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 34401024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74409753600).

34401024000 is an abundant number, since it is smaller than the sum of its proper divisors (114418483200).

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

34401024000 is an frugal number, since it uses more digits than its factorization.

34401024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

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

Adding to 34401024000 its reverse (42010443), we get a palindrome (34443034443).

The spelling of 34401024000 in words is "thirty-four billion, four hundred one million, twenty-four thousand".