3793803120 has 120 divisors (see below), whose sum is σ = 12864804576. Its totient is φ = 1001839104.

The previous prime is 3793803119. The next prime is 3793803163. The reversal of 3793803120 is 213083973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3793803120² = 28785884226643468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48582 + ... + 99738.

Almost surely, 2^3793803120 is an apocalyptic number.

3793803120 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 3793803120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432402288).

3793803120 is an abundant number, since it is smaller than the sum of its proper divisors (9071001456).

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

3793803120 is a wasteful number, since it uses less digits than its factorization.

3793803120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51279 (or 51270 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3793803120 is about 61593.8561871231. The cubic root of 3793803120 is about 1559.6420283165.

The spelling of 3793803120 in words is "three billion, seven hundred ninety-three million, eight hundred three thousand, one hundred twenty".