34286353920 has 1600 divisors, whose sum is σ = 159709777920. Its totient is φ = 6831931392.

The previous prime is 34286353891. The next prime is 34286353931. The reversal of 34286353920 is 2935368243.

34286353920 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 635 + 3 + 9 + 2 + 0 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 434004441 + ... + 434004519.

Almost surely, 2^34286353920 is an apocalyptic number.

34286353920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34286353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79854888960).

34286353920 is an abundant number, since it is smaller than the sum of its proper divisors (125423424000).

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

34286353920 is a wasteful number, since it uses less digits than its factorization.

34286353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 34286353920 in words is "thirty-four billion, two hundred eighty-six million, three hundred fifty-three thousand, nine hundred twenty".