34424635403550 has 384 divisors, whose sum is σ = 103903042636800. Its totient is φ = 7363077120000.

The previous prime is 34424635403549. The next prime is 34424635403621. The reversal of 34424635403550 is 5530453642443.

It is a self number, because there is not a number n which added to its sum of digits gives 34424635403550.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7915526776 + ... + 7915531124.

It is an arithmetic number, because the mean of its divisors is an integer number (270580840200).

Almost surely, 2^{34424635403550} is an apocalyptic number.

34424635403550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34424635403550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51951521318400).

34424635403550 is an abundant number, since it is smaller than the sum of its proper divisors (69478407233250).

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

34424635403550 is a wasteful number, since it uses less digits than its factorization.

34424635403550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6836 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 48.

The spelling of 34424635403550 in words is "thirty-four trillion, four hundred twenty-four billion, six hundred thirty-five million, four hundred three thousand, five hundred fifty".