34933403628 has 480 divisors, whose sum is σ = 104214663168. Its totient is φ = 10161676800.

The previous prime is 34933403627. The next prime is 34933403639. The reversal of 34933403628 is 82630433943.

It is not an unprimeable number, because it can be changed into a prime (34933403621) by changing a digit.

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, 521394051 + ... + 521394117.

Almost surely, 2^34933403628 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 34933403628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52107331584).

34933403628 is an abundant number, since it is smaller than the sum of its proper divisors (69281259540).

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

34933403628 is a wasteful number, since it uses less digits than its factorization.

34933403628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 34933403628 in words is "thirty-four billion, nine hundred thirty-three million, four hundred three thousand, six hundred twenty-eight".