34800942353580 has 216 divisors, whose sum is σ = 114820323666048. Its totient is φ = 8527969861632.

The previous prime is 34800942353563. The next prime is 34800942353641. The reversal of 34800942353580 is 8535324900843.

34800942353580 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 0 + 9 + 4 + 2 + 3 + 53 + 580 = 666.

It is a super-2 number, since 2×34800942353580² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4218604 + ... + 9348716.

It is an arithmetic number, because the mean of its divisors is an integer number (531575572528).

Almost surely, 2^{34800942353580} is an apocalyptic number.

34800942353580 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 34800942353580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57410161833024).

34800942353580 is an abundant number, since it is smaller than the sum of its proper divisors (80019381312468).

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

34800942353580 is a wasteful number, since it uses less digits than its factorization.

34800942353580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130377 (or 5130359 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 34800942353580 in words is "thirty-four trillion, eight hundred billion, nine hundred forty-two million, three hundred fifty-three thousand, five hundred eighty".