34646483424 has 192 divisors, whose sum is σ = 105191364096. Its totient is φ = 9780363264.

The previous prime is 34646483423. The next prime is 34646483441. The reversal of 34646483424 is 42438464643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34646483423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35461624 + ... + 35462600.

It is an arithmetic number, because the mean of its divisors is an integer number (547871688).

Almost surely, 2^34646483424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34646483424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52595682048).

34646483424 is an abundant number, since it is smaller than the sum of its proper divisors (70544880672).

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

34646483424 is a wasteful number, since it uses less digits than its factorization.

34646483424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1569 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 34646483424 in words is "thirty-four billion, six hundred forty-six million, four hundred eighty-three thousand, four hundred twenty-four".