34041242400 has 576 divisors, whose sum is σ = 125127991296. Its totient is φ = 7967232000.

The previous prime is 34041242399. The next prime is 34041242401. The reversal of 34041242400 is 424214043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34041242399) and next prime (34041242401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34041242401) 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, 178226305 + ... + 178226495.

It is an arithmetic number, because the mean of its divisors is an integer number (217236096).

Almost surely, 2^34041242400 is an apocalyptic number.

34041242400 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 34041242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62563995648).

34041242400 is an abundant number, since it is smaller than the sum of its proper divisors (91086748896).

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

34041242400 is a wasteful number, since it uses less digits than its factorization.

34041242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34041242400 its reverse (424214043), we get a palindrome (34465456443).

The spelling of 34041242400 in words is "thirty-four billion, forty-one million, two hundred forty-two thousand, four hundred".