29374835072 has 192 divisors, whose sum is σ = 66526578720. Its totient is φ = 12901785600.

The previous prime is 29374835071. The next prime is 29374835093. The reversal of 29374835072 is 27053847392.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29374835072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29374835071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106046198 + ... + 106046474.

Almost surely, 2^29374835072 is an apocalyptic number.

29374835072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29374835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33263289360).

29374835072 is an abundant number, since it is smaller than the sum of its proper divisors (37151743648).

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

29374835072 is a wasteful number, since it uses less digits than its factorization.

29374835072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 29374835072 in words is "twenty-nine billion, three hundred seventy-four million, eight hundred thirty-five thousand, seventy-two".