34475172480 has 512 divisors, whose sum is σ = 140211648000. Its totient is φ = 7842299904.

The previous prime is 34475172469. The next prime is 34475172481. The reversal of 34475172480 is 8427157443.

34475172480 is a `hidden beast` number, since 3 + 4 + 475 + 172 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34475172481) 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 63 ways as a sum of consecutive naturals, for example, 31086166 + ... + 31087274.

It is an arithmetic number, because the mean of its divisors is an integer number (273850875).

Almost surely, 2^34475172480 is an apocalyptic number.

34475172480 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 34475172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70105824000).

34475172480 is an abundant number, since it is smaller than the sum of its proper divisors (105736475520).

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

34475172480 is a wasteful number, since it uses less digits than its factorization.

34475172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 34475172480 in words is "thirty-four billion, four hundred seventy-five million, one hundred seventy-two thousand, four hundred eighty".