3793104000 has 768 divisors, whose sum is σ = 16085122560. Its totient is φ = 838656000.

The previous prime is 3793103987. The next prime is 3793104023. The reversal of 3793104000 is 4013973.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53423965 + ... + 53424035.

It is an arithmetic number, because the mean of its divisors is an integer number (20944170).

Almost surely, 2^3793104000 is an apocalyptic number.

3793104000 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 3793104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042561280).

3793104000 is an abundant number, since it is smaller than the sum of its proper divisors (12292018560).

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

3793104000 is a wasteful number, since it uses less digits than its factorization.

3793104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3793104000 is about 61588.1806842839. The cubic root of 3793104000 is about 1559.5462190995.

Adding to 3793104000 its reverse (4013973), we get a palindrome (3797117973).

The spelling of 3793104000 in words is "three billion, seven hundred ninety-three million, one hundred four thousand".