4739129100 has 288 divisors, whose sum is σ = 16238960640. Its totient is φ = 1181537280.

The previous prime is 4739129041. The next prime is 4739129107. The reversal of 4739129100 is 19219374.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4739129107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10235469 + ... + 10235931.

It is an arithmetic number, because the mean of its divisors is an integer number (56385280).

Almost surely, 2^4739129100 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 4739129100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119480320).

4739129100 is an abundant number, since it is smaller than the sum of its proper divisors (11499831540).

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

4739129100 is a wasteful number, since it uses less digits than its factorization.

4739129100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4739129100 is about 68841.3327877954. The cubic root of 4739129100 is about 1679.7043484836.

The spelling of 4739129100 in words is "four billion, seven hundred thirty-nine million, one hundred twenty-nine thousand, one hundred".