34425982596096 has 1056 divisors, whose sum is σ = 130970387079168. Its totient is φ = 8786317639680.

The previous prime is 34425982596091. The next prime is 34425982596113. The reversal of 34425982596096 is 69069528952443.

It is a happy number.

34425982596096 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 5 + 9 + 8 + 2 + 5 + 9 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34425982596091) 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 95 ways as a sum of consecutive naturals, for example, 701930551 + ... + 701979593.

Almost surely, 2^{34425982596096} is an apocalyptic number.

34425982596096 is a gapful number since it is divisible by the number (36) 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 34425982596096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65485193539584).

34425982596096 is an abundant number, since it is smaller than the sum of its proper divisors (96544404483072).

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

34425982596096 is a wasteful number, since it uses less digits than its factorization.

34425982596096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49129 (or 49099 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 34425982596096 in words is "thirty-four trillion, four hundred twenty-five billion, nine hundred eighty-two million, five hundred ninety-six thousand, ninety-six".