3793875840 has 256 divisors, whose sum is σ = 13522017600. Its totient is φ = 1005281280.

The previous prime is 3793875797. The next prime is 3793875847. The reversal of 3793875840 is 485783973.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793875847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3127074 + ... + 3128286.

Almost surely, 2^3793875840 is an apocalyptic number.

3793875840 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 3793875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761008800).

3793875840 is an abundant number, since it is smaller than the sum of its proper divisors (9728141760).

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

3793875840 is a wasteful number, since it uses less digits than its factorization.

3793875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 3793875840 is about 61594.4465029113. The cubic root of 3793875840 is about 1559.6519933780.

The spelling of 3793875840 in words is "three billion, seven hundred ninety-three million, eight hundred seventy-five thousand, eight hundred forty".