4735379200 has 108 divisors (see below), whose sum is σ = 11770496640. Its totient is φ = 1886126080.

The previous prime is 4735379197. The next prime is 4735379213. The reversal of 4735379200 is 29735374.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1643361 + ... + 1646239.

It is an arithmetic number, because the mean of its divisors is an integer number (108986080).

Almost surely, 2^4735379200 is an apocalyptic number.

4735379200 is a gapful number since it is divisible by the number (40) 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 4735379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885248320).

4735379200 is an abundant number, since it is smaller than the sum of its proper divisors (7035117440).

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

4735379200 is a wasteful number, since it uses less digits than its factorization.

4735379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The square root of 4735379200 is about 68814.0915801408. The cubic root of 4735379200 is about 1679.2612019862.

The spelling of 4735379200 in words is "four billion, seven hundred thirty-five million, three hundred seventy-nine thousand, two hundred".