3251834838 has 192 divisors, whose sum is σ = 8961638400. Its totient is φ = 831176640.

The previous prime is 3251834827. The next prime is 3251834843. The reversal of 3251834838 is 8384381523.

It is a junction number, because it is equal to n+sod(n) for n = 3251834793 and 3251834802.

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 95 ways as a sum of consecutive naturals, for example, 3190693 + ... + 3191711.

It is an arithmetic number, because the mean of its divisors is an integer number (46675200).

Almost surely, 2^3251834838 is an apocalyptic number.

3251834838 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3251834838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480819200).

3251834838 is an abundant number, since it is smaller than the sum of its proper divisors (5709803562).

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

3251834838 is a wasteful number, since it uses less digits than its factorization.

3251834838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1124 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 3251834838 is about 57024.8615780871. The cubic root of 3251834838 is about 1481.5267356265.

The spelling of 3251834838 in words is "three billion, two hundred fifty-one million, eight hundred thirty-four thousand, eight hundred thirty-eight".