3798007200 has 216 divisors, whose sum is σ = 14423287788. Its totient is φ = 934871040.

The previous prime is 3798007153. The next prime is 3798007201. The reversal of 3798007200 is 27008973.

3798007200 is a `hidden beast` number, since 379 + 80 + 0 + 7 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 929762064 + 2868245136 = 30492^2 + 53556^2 .

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 (3798007201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73312 + ... + 113888.

Almost surely, 2^3798007200 is an apocalyptic number.

3798007200 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 3798007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211643894).

3798007200 is an abundant number, since it is smaller than the sum of its proper divisors (10625280588).

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

3798007200 is a wasteful number, since it uses less digits than its factorization.

3798007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40616 (or 40600 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3798007200 is about 61627.9741675807. The cubic root of 3798007200 is about 1560.2179182753.

The spelling of 3798007200 in words is "three billion, seven hundred ninety-eight million, seven thousand, two hundred".