34338890960640 has 1728 divisors, whose sum is σ = 149679353241600. Its totient is φ = 7362684076032.

The previous prime is 34338890960599. The next prime is 34338890960663. The reversal of 34338890960640 is 4606909883343.

34338890960640 is a `hidden beast` number, since 3 + 43 + 388 + 90 + 96 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4260932931 + ... + 4260940989.

Almost surely, 2^{34338890960640} is an apocalyptic number.

34338890960640 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 34338890960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74839676620800).

34338890960640 is an abundant number, since it is smaller than the sum of its proper divisors (115340462280960).

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

34338890960640 is a wasteful number, since it uses less digits than its factorization.

34338890960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 34338890960640 in words is "thirty-four trillion, three hundred thirty-eight billion, eight hundred ninety million, nine hundred sixty thousand, six hundred forty".