34002726912 has 650 divisors, whose sum is σ = 127694741240. Its totient is φ = 8831877120.

The previous prime is 34002726887. The next prime is 34002726917. The reversal of 34002726912 is 21962720043.

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 (34002726917) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3091156987 + ... + 3091156997.

Almost surely, 2^34002726912 is an apocalyptic number.

34002726912 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 34002726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63847370620).

34002726912 is an abundant number, since it is smaller than the sum of its proper divisors (93692014328).

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

34002726912 is an frugal number, since it uses more digits than its factorization.

34002726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

34002726912 divided by its product of nonzero digits (36288) gives a square (937024 = 968²).

The spelling of 34002726912 in words is "thirty-four billion, two million, seven hundred twenty-six thousand, nine hundred twelve".