34731742550340 has 192 divisors, whose sum is σ = 107656376002560. Its totient is φ = 8295635712000.

The previous prime is 34731742550317. The next prime is 34731742550341. The reversal of 34731742550340 is 4305524713743.

It is a self number, because there is not a number n which added to its sum of digits gives 34731742550340.

It is not an unprimeable number, because it can be changed into a prime (34731742550341) 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, 69525655 + ... + 70023425.

It is an arithmetic number, because the mean of its divisors is an integer number (560710291680).

Almost surely, 2^{34731742550340} is an apocalyptic number.

34731742550340 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 34731742550340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53828188001280).

34731742550340 is an abundant number, since it is smaller than the sum of its proper divisors (72924633452220).

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

34731742550340 is a wasteful number, since it uses less digits than its factorization.

34731742550340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499354 (or 499352 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 48.

The spelling of 34731742550340 in words is "thirty-four trillion, seven hundred thirty-one billion, seven hundred forty-two million, five hundred fifty thousand, three hundred forty".