3796441600 has 180 divisors, whose sum is σ = 10943458614. Its totient is φ = 1301422080.

The previous prime is 3796441589. The next prime is 3796441603. The reversal of 3796441600 is 61446973.

It can be written as a sum of positive squares in 3 ways, for example, as 1878702336 + 1917739264 = 43344^2 + 43792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3796441603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 624174 + ... + 630226.

Almost surely, 2^3796441600 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 3796441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471729307).

3796441600 is an abundant number, since it is smaller than the sum of its proper divisors (7147017014).

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

3796441600 is an equidigital number, since it uses as much as digits as its factorization.

3796441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3796441600 is about 61615.2708344287. The cubic root of 3796441600 is about 1560.0035064572.

The spelling of 3796441600 in words is "three billion, seven hundred ninety-six million, four hundred forty-one thousand, six hundred".