34740382593792 has 288 divisors, whose sum is σ = 94673164098240. Its totient is φ = 11305274572800.

The previous prime is 34740382593779. The next prime is 34740382593799. The reversal of 34740382593792 is 29739528304743.

It is not an unprimeable number, because it can be changed into a prime (34740382593799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7236069792 + ... + 7236074592.

It is an arithmetic number, because the mean of its divisors is an integer number (328726264230).

Almost surely, 2^{34740382593792} is an apocalyptic number.

34740382593792 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 34740382593792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47336582049120).

34740382593792 is an abundant number, since it is smaller than the sum of its proper divisors (59932781504448).

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

34740382593792 is a wasteful number, since it uses less digits than its factorization.

34740382593792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 66.

The spelling of 34740382593792 in words is "thirty-four trillion, seven hundred forty billion, three hundred eighty-two million, five hundred ninety-three thousand, seven hundred ninety-two".