34263152010 has 256 divisors, whose sum is σ = 103576320000. Its totient is φ = 8007496704.

The previous prime is 34263151999. The next prime is 34263152023. The reversal of 34263152010 is 1025136243.

34263152010 is a `hidden beast` number, since 3 + 4 + 2 + 631 + 5 + 20 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5142061 + ... + 5148719.

It is an arithmetic number, because the mean of its divisors is an integer number (404595000).

Almost surely, 2^34263152010 is an apocalyptic number.

34263152010 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 34263152010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51788160000).

34263152010 is an abundant number, since it is smaller than the sum of its proper divisors (69313167990).

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

34263152010 is a wasteful number, since it uses less digits than its factorization.

34263152010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34263152010 its reverse (1025136243), we get a palindrome (35288288253).

The spelling of 34263152010 in words is "thirty-four billion, two hundred sixty-three million, one hundred fifty-two thousand, ten".