34188349356 has 144 divisors (see below), whose sum is σ = 105458056704. Its totient is φ = 9126044928.

The previous prime is 34188349301. The next prime is 34188349361. The reversal of 34188349356 is 65394388143.

It is a super-2 number, since 2×34188349356² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180640 + ... + 317816.

It is an arithmetic number, because the mean of its divisors is an integer number (732347616).

Almost surely, 2^34188349356 is an apocalyptic number.

34188349356 is a gapful number since it is divisible by the number (36) 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 34188349356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52729028352).

34188349356 is an abundant number, since it is smaller than the sum of its proper divisors (71269707348).

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

34188349356 is a wasteful number, since it uses less digits than its factorization.

34188349356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137260 (or 137255 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 34188349356 in words is "thirty-four billion, one hundred eighty-eight million, three hundred forty-nine thousand, three hundred fifty-six".