34309144512 has 448 divisors, whose sum is σ = 111067494400. Its totient is φ = 10346434560.

The previous prime is 34309144511. The next prime is 34309144547. The reversal of 34309144512 is 21544190343.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34309144511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74101593 + ... + 74102055.

Almost surely, 2^34309144512 is an apocalyptic number.

34309144512 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 34309144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55533747200).

34309144512 is an abundant number, since it is smaller than the sum of its proper divisors (76758349888).

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

34309144512 is a wasteful number, since it uses less digits than its factorization.

34309144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34309144512 in words is "thirty-four billion, three hundred nine million, one hundred forty-four thousand, five hundred twelve".