34000123740 has 192 divisors, whose sum is σ = 107832936960. Its totient is φ = 7928847360.

The previous prime is 34000123739. The next prime is 34000123741. The reversal of 34000123740 is 4732100043.

It is an interprime number because it is at equal distance from previous prime (34000123739) and next prime (34000123741).

It is a self number, because there is not a number n which added to its sum of digits gives 34000123740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000123741) 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, 5413482 + ... + 5419758.

It is an arithmetic number, because the mean of its divisors is an integer number (561629880).

Almost surely, 2^34000123740 is an apocalyptic number.

34000123740 is a gapful number since it is divisible by the number (30) 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 34000123740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53916468480).

34000123740 is an abundant number, since it is smaller than the sum of its proper divisors (73832813220).

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

34000123740 is a wasteful number, since it uses less digits than its factorization.

34000123740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

Adding to 34000123740 its reverse (4732100043), we get a palindrome (38732223783).

The spelling of 34000123740 in words is "thirty-four billion, one hundred twenty-three thousand, seven hundred forty".