34097345472 has 112 divisors (see below), whose sum is σ = 91723829760. Its totient is φ = 11176968192.

The previous prime is 34097345437. The next prime is 34097345479. The reversal of 34097345472 is 27454379043.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34097345479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3893803 + ... + 3902549.

Almost surely, 2^34097345472 is an apocalyptic number.

34097345472 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 34097345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45861914880).

34097345472 is an abundant number, since it is smaller than the sum of its proper divisors (57626484288).

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

34097345472 is a wasteful number, since it uses less digits than its factorization.

34097345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 34097345472 in words is "thirty-four billion, ninety-seven million, three hundred forty-five thousand, four hundred seventy-two".