34933353408 has 448 divisors, whose sum is σ = 109731901440. Its totient is φ = 11018280960.

The previous prime is 34933353359. The next prime is 34933353409. The reversal of 34933353408 is 80435333943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34933353409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360137616 + ... + 360137712.

It is an arithmetic number, because the mean of its divisors is an integer number (244937280).

Almost surely, 2^34933353408 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 34933353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54865950720).

34933353408 is an abundant number, since it is smaller than the sum of its proper divisors (74798548032).

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

34933353408 is an frugal number, since it uses more digits than its factorization.

34933353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 34933353408 in words is "thirty-four billion, nine hundred thirty-three million, three hundred fifty-three thousand, four hundred eight".