34814087550 has 384 divisors, whose sum is σ = 107354557440. Its totient is φ = 8328096000.

The previous prime is 34814087527. The next prime is 34814087569. The reversal of 34814087550 is 5578041843.

34814087550 is a `hidden beast` number, since 3 + 4 + 8 + 14 + 0 + 87 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 34814087496 and 34814087505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123893410 + ... + 123893690.

It is an arithmetic number, because the mean of its divisors is an integer number (279569160).

Almost surely, 2^34814087550 is an apocalyptic number.

34814087550 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 34814087550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53677278720).

34814087550 is an abundant number, since it is smaller than the sum of its proper divisors (72540469890).

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

34814087550 is a wasteful number, since it uses less digits than its factorization.

34814087550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 34814087550 in words is "thirty-four billion, eight hundred fourteen million, eighty-seven thousand, five hundred fifty".