3798861600 has 144 divisors (see below), whose sum is σ = 12535260192. Its totient is φ = 999106560.

The previous prime is 3798861593. The next prime is 3798861623. The reversal of 3798861600 is 61688973.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3798861600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164359 + ... + 186041.

It is an arithmetic number, because the mean of its divisors is an integer number (87050418).

Almost surely, 2^3798861600 is an apocalyptic number.

3798861600 is a gapful number since it is divisible by the number (30) 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 3798861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267630096).

3798861600 is an abundant number, since it is smaller than the sum of its proper divisors (8736398592).

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

3798861600 is a wasteful number, since it uses less digits than its factorization.

3798861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21779 (or 21766 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 3798861600 is about 61634.9056947441. The cubic root of 3798861600 is about 1560.3349050853.

The spelling of 3798861600 in words is "three billion, seven hundred ninety-eight million, eight hundred sixty-one thousand, six hundred".