34572149241840 has 960 divisors, whose sum is σ = 142940652462720. Its totient is φ = 7653063720960.

The previous prime is 34572149241823. The next prime is 34572149241841. The reversal of 34572149241840 is 4814294127543.

It is a happy number.

34572149241840 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 214 + 9 + 2 + 418 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34572149241841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 594474204 + ... + 594532356.

It is an arithmetic number, because the mean of its divisors is an integer number (148896512982).

Almost surely, 2^{34572149241840} is an apocalyptic number.

34572149241840 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 34572149241840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71470326231360).

34572149241840 is an abundant number, since it is smaller than the sum of its proper divisors (108368503220880).

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

34572149241840 is a wasteful number, since it uses less digits than its factorization.

34572149241840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58367 (or 58348 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 34572149241840 in words is "thirty-four trillion, five hundred seventy-two billion, one hundred forty-nine million, two hundred forty-one thousand, eight hundred forty".