29996434944 has 320 divisors, whose sum is σ = 101979187200. Its totient is φ = 8527970304.

The previous prime is 29996434913. The next prime is 29996434961. The reversal of 29996434944 is 44943469992.

29996434944 is a `hidden beast` number, since 29 + 9 + 96 + 434 + 94 + 4 = 666.

It is a super-2 number, since 2×29996434944² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23126904 + ... + 23128200.

It is an arithmetic number, because the mean of its divisors is an integer number (318684960).

Almost surely, 2^29996434944 is an apocalyptic number.

29996434944 is a gapful number since it is divisible by the number (24) 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 29996434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50989593600).

29996434944 is an abundant number, since it is smaller than the sum of its proper divisors (71982752256).

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

29996434944 is a wasteful number, since it uses less digits than its factorization.

29996434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1548 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 29996434944 in words is "twenty-nine billion, nine hundred ninety-six million, four hundred thirty-four thousand, nine hundred forty-four".