34775226144 has 72 divisors (see below), whose sum is σ = 100143912960. Its totient is φ = 11445003648.

The previous prime is 34775226131. The next prime is 34775226151. The reversal of 34775226144 is 44162257743.

34775226144 is a `hidden beast` number, since 3 + 4 + 7 + 7 + 5 + 22 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×34775226144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34775226144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741472 + ... + 786975.

It is an arithmetic number, because the mean of its divisors is an integer number (1390887680).

Almost surely, 2^34775226144 is an apocalyptic number.

It is an amenable number.

34775226144 is an abundant number, since it is smaller than the sum of its proper divisors (65368686816).

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

34775226144 is a wasteful number, since it uses less digits than its factorization.

34775226144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528542 (or 1528531 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 34775226144 in words is "thirty-four billion, seven hundred seventy-five million, two hundred twenty-six thousand, one hundred forty-four".