34629490896 has 480 divisors, whose sum is σ = 128716761600. Its totient is φ = 7864335360.

The previous prime is 34629490879. The next prime is 34629490921. The reversal of 34629490896 is 69809492643.

It is a super-2 number, since 2×34629490896² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6387675 + ... + 6393093.

It is an arithmetic number, because the mean of its divisors is an integer number (268159920).

Almost surely, 2^34629490896 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 34629490896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64358380800).

34629490896 is an abundant number, since it is smaller than the sum of its proper divisors (94087270704).

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

34629490896 is a wasteful number, since it uses less digits than its factorization.

34629490896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

It can be divided in two parts, 34629 and 490896, that added together give a palindrome (525525).

The spelling of 34629490896 in words is "thirty-four billion, six hundred twenty-nine million, four hundred ninety thousand, eight hundred ninety-six".