29845439700 has 144 divisors (see below), whose sum is σ = 91945990080. Its totient is φ = 7448545280.

The previous prime is 29845439677. The next prime is 29845439707. The reversal of 29845439700 is 793454892.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29845439707) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 896554 + ... + 929246.

It is an arithmetic number, because the mean of its divisors is an integer number (638513820).

Almost surely, 2^29845439700 is an apocalyptic number.

29845439700 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 29845439700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45972995040).

29845439700 is an abundant number, since it is smaller than the sum of its proper divisors (62100550380).

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

29845439700 is a wasteful number, since it uses less digits than its factorization.

29845439700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32906 (or 32899 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 29845439700 in words is "twenty-nine billion, eight hundred forty-five million, four hundred thirty-nine thousand, seven hundred".