34440131000 has 256 divisors, whose sum is σ = 92337822720. Its totient is φ = 11901120000.

The previous prime is 34440130973. The next prime is 34440131021. The reversal of 34440131000 is 13104443.

It is a happy number.

It is a super-2 number, since 2×34440131000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49840655 + ... + 49841345.

It is an arithmetic number, because the mean of its divisors is an integer number (360694620).

Almost surely, 2^34440131000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34440131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46168911360).

34440131000 is an abundant number, since it is smaller than the sum of its proper divisors (57897691720).

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

34440131000 is a wasteful number, since it uses less digits than its factorization.

34440131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34440131000 its reverse (13104443), we get a palindrome (34453235443).

The spelling of 34440131000 in words is "thirty-four billion, four hundred forty million, one hundred thirty-one thousand".