34249400482752 has 1792 divisors, whose sum is σ = 132481198080000. Its totient is φ = 8424953856000.

The previous prime is 34249400482751. The next prime is 34249400482841. The reversal of 34249400482752 is 25728400494243.

34249400482752 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 94 + 0 + 0 + 482 + 75 + 2 = 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 (34249400482751) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81740812399 + ... + 81740812817.

It is an arithmetic number, because the mean of its divisors is an integer number (73929240000).

Almost surely, 2^{34249400482752} is an apocalyptic number.

34249400482752 is a gapful number since it is divisible by the number (32) 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 34249400482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240599040000).

34249400482752 is an abundant number, since it is smaller than the sum of its proper divisors (98231797597248).

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

34249400482752 is a wasteful number, since it uses less digits than its factorization.

34249400482752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 34249400482752 in words is "thirty-four trillion, two hundred forty-nine billion, four hundred million, four hundred eighty-two thousand, seven hundred fifty-two".