34130301004800 has 7128 divisors, whose sum is σ = 179400711213360. Its totient is φ = 6320730931200.

The previous prime is 34130301004769. The next prime is 34130301004843. The reversal of 34130301004800 is 840010303143.

34130301004800 is a `hidden beast` number, since 341 + 303 + 0 + 10 + 0 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 1176906931186 + ... + 1176906931214.

Almost surely, 2^{34130301004800} is an apocalyptic number.

34130301004800 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 34130301004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89700355606680).

34130301004800 is an abundant number, since it is smaller than the sum of its proper divisors (145270410208560).

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

34130301004800 is a wasteful number, since it uses less digits than its factorization.

34130301004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34130301004800 its reverse (840010303143), we get a palindrome (34970311307943).

The spelling of 34130301004800 in words is "thirty-four trillion, one hundred thirty billion, three hundred one million, four thousand, eight hundred".