29034738390 has 256 divisors, whose sum is σ = 85233254400. Its totient is φ = 6187027968.

The previous prime is 29034738371. The next prime is 29034738407. The reversal of 29034738390 is 9383743092.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39610464 + ... + 39611196.

It is an arithmetic number, because the mean of its divisors is an integer number (332942400).

Almost surely, 2^29034738390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29034738390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42616627200).

29034738390 is an abundant number, since it is smaller than the sum of its proper divisors (56198516010).

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

29034738390 is a wasteful number, since it uses less digits than its factorization.

29034738390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971.

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 29034738390 in words is "twenty-nine billion, thirty-four million, seven hundred thirty-eight thousand, three hundred ninety".