34482521472 has 768 divisors, whose sum is σ = 121563763200. Its totient is φ = 8583708672.

The previous prime is 34482521471. The next prime is 34482521501. The reversal of 34482521472 is 27412528443.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34482521471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316353354 + ... + 316353462.

It is an arithmetic number, because the mean of its divisors is an integer number (158286150).

Almost surely, 2^34482521472 is an apocalyptic number.

34482521472 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 34482521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60781881600).

34482521472 is an abundant number, since it is smaller than the sum of its proper divisors (87081241728).

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

34482521472 is a wasteful number, since it uses less digits than its factorization.

34482521472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The spelling of 34482521472 in words is "thirty-four billion, four hundred eighty-two million, five hundred twenty-one thousand, four hundred seventy-two".