34124232450 has 288 divisors, whose sum is σ = 106758916992. Its totient is φ = 7060838400.

The previous prime is 34124232433. The next prime is 34124232497. The reversal of 34124232450 is 5423242143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42815452 + ... + 42816248.

It is an arithmetic number, because the mean of its divisors is an integer number (370690684).

Almost surely, 2^34124232450 is an apocalyptic number.

34124232450 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 34124232450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53379458496).

34124232450 is an abundant number, since it is smaller than the sum of its proper divisors (72634684542).

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

34124232450 is a wasteful number, since it uses less digits than its factorization.

34124232450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34124232450 its reverse (5423242143), we get a palindrome (39547474593).

The spelling of 34124232450 in words is "thirty-four billion, one hundred twenty-four million, two hundred thirty-two thousand, four hundred fifty".