34828451840 has 336 divisors, whose sum is σ = 104287124928. Its totient is φ = 10871635968.

The previous prime is 34828451839. The next prime is 34828451887. The reversal of 34828451840 is 4815482843.

It is a super-4 number, since 4×34828451840⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477102044 + ... + 477102116.

It is an arithmetic number, because the mean of its divisors is an integer number (310378348).

Almost surely, 2^34828451840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34828451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52143562464).

34828451840 is an abundant number, since it is smaller than the sum of its proper divisors (69458673088).

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

34828451840 is an frugal number, since it uses more digits than its factorization.

34828451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 47.

The spelling of 34828451840 in words is "thirty-four billion, eight hundred twenty-eight million, four hundred fifty-one thousand, eight hundred forty".