29349035352 has 384 divisors, whose sum is σ = 100387123200. Its totient is φ = 7540356096.

The previous prime is 29349035323. The next prime is 29349035369. The reversal of 29349035352 is 25353094392.

It is a happy number.

29349035352 is a `hidden beast` number, since 29 + 3 + 4 + 90 + 3 + 535 + 2 = 666.

It is a super-2 number, since 2×29349035352² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29349035298 and 29349035307.

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, 77437899 + ... + 77438277.

It is an arithmetic number, because the mean of its divisors is an integer number (261424800).

Almost surely, 2^29349035352 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 29349035352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193561600).

29349035352 is an abundant number, since it is smaller than the sum of its proper divisors (71038087848).

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

29349035352 is a wasteful number, since it uses less digits than its factorization.

29349035352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 29349035352 in words is "twenty-nine billion, three hundred forty-nine million, thirty-five thousand, three hundred fifty-two".