34243653444 has 384 divisors, whose sum is σ = 111767040000. Its totient is φ = 7871109120.

The previous prime is 34243653443. The next prime is 34243653467. The reversal of 34243653444 is 44435634243.

It is a super-2 number, since 2×34243653444² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34243653396 and 34243653405.

It is not an unprimeable number, because it can be changed into a prime (34243653443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68624307 + ... + 68624805.

It is an arithmetic number, because the mean of its divisors is an integer number (291060000).

Almost surely, 2^34243653444 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 34243653444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520000).

34243653444 is an abundant number, since it is smaller than the sum of its proper divisors (77523386556).

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

34243653444 is a wasteful number, since it uses less digits than its factorization.

34243653444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 42.

The spelling of 34243653444 in words is "thirty-four billion, two hundred forty-three million, six hundred fifty-three thousand, four hundred forty-four".