34037151444 has 36 divisors (see below), whose sum is σ = 88363719444. Its totient is φ = 11039075712.

The previous prime is 34037151413. The next prime is 34037151461. The reversal of 34037151444 is 44415173043.

34037151444 is a `hidden beast` number, since 34 + 0 + 3 + 71 + 514 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12247848900 + 21789302544 = 110670^2 + 147612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34037151399 and 34037151408.

It is a congruent number.

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, 12775377 + ... + 12778040.

Almost surely, 2^34037151444 is an apocalyptic number.

It is an amenable number.

34037151444 is an abundant number, since it is smaller than the sum of its proper divisors (54326568000).

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

34037151444 is a wasteful number, since it uses less digits than its factorization.

34037151444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25553464 (or 25553459 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 34037151444 in words is "thirty-four billion, thirty-seven million, one hundred fifty-one thousand, four hundred forty-four".