34875574272 has 384 divisors, whose sum is σ = 128817561600. Its totient is φ = 9057484800.

The previous prime is 34875574247. The next prime is 34875574277. The reversal of 34875574272 is 27247557843.

It is a happy number.

34875574272 is a `hidden beast` number, since 3 + 4 + 87 + 557 + 4 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34875574277) 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, 4253697 + ... + 4261887.

It is an arithmetic number, because the mean of its divisors is an integer number (335462400).

Almost surely, 2^34875574272 is an apocalyptic number.

34875574272 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 34875574272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64408780800).

34875574272 is an abundant number, since it is smaller than the sum of its proper divisors (93941987328).

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

34875574272 is a wasteful number, since it uses less digits than its factorization.

34875574272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240 (or 8214 counting only the distinct ones).

The product of its digits is 13171200, while the sum is 54.

The spelling of 34875574272 in words is "thirty-four billion, eight hundred seventy-five million, five hundred seventy-four thousand, two hundred seventy-two".