3793819680 has 960 divisors, whose sum is σ = 16860856320. Its totient is φ = 783820800.

The previous prime is 3793819657. The next prime is 3793819691. The reversal of 3793819680 is 869183973.

3793819680 is a `hidden beast` number, since 379 + 3 + 8 + 196 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53434045 + ... + 53434115.

It is an arithmetic number, because the mean of its divisors is an integer number (17563392).

Almost surely, 2^3793819680 is an apocalyptic number.

3793819680 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 3793819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430428160).

3793819680 is an abundant number, since it is smaller than the sum of its proper divisors (13067036640).

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

3793819680 is a wasteful number, since it uses less digits than its factorization.

3793819680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 3793819680 is about 61593.9906159684. The cubic root of 3793819680 is about 1559.6442975991.

The spelling of 3793819680 in words is "three billion, seven hundred ninety-three million, eight hundred nineteen thousand, six hundred eighty".