29633930340 has 192 divisors, whose sum is σ = 96176553984. Its totient is φ = 6677816832.

The previous prime is 29633930329. The next prime is 29633930399. The reversal of 29633930340 is 4303933692.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29633930292 and 29633930301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10020142 + ... + 10023098.

It is an arithmetic number, because the mean of its divisors is an integer number (500919552).

Almost surely, 2^29633930340 is an apocalyptic number.

29633930340 is a gapful number since it is divisible by the number (20) 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 29633930340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48088276992).

29633930340 is an abundant number, since it is smaller than the sum of its proper divisors (66542623644).

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

29633930340 is a wasteful number, since it uses less digits than its factorization.

29633930340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 42.

The spelling of 29633930340 in words is "twenty-nine billion, six hundred thirty-three million, nine hundred thirty thousand, three hundred forty".