34504350020400 has 360 divisors, whose sum is σ = 120018815804160. Its totient is φ = 8469702159360.

The previous prime is 34504350020381. The next prime is 34504350020401. The reversal of 34504350020400 is 402005340543.

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 (34504350020401) 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 71 ways as a sum of consecutive naturals, for example, 72568237 + ... + 73042163.

It is an arithmetic number, because the mean of its divisors is an integer number (333385599456).

Almost surely, 2^{34504350020400} is an apocalyptic number.

34504350020400 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 34504350020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60009407902080).

34504350020400 is an abundant number, since it is smaller than the sum of its proper divisors (85514465783760).

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

34504350020400 is a wasteful number, since it uses less digits than its factorization.

34504350020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474333 (or 474309 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 34504350020400 its reverse (402005340543), we get a palindrome (34906355360943).

The spelling of 34504350020400 in words is "thirty-four trillion, five hundred four billion, three hundred fifty million, twenty thousand, four hundred".