3795668880 has 320 divisors, whose sum is σ = 12873033216. Its totient is φ = 921600000.

The previous prime is 3795668843. The next prime is 3795668957. The reversal of 3795668880 is 888665973.

3795668880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 61609²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25136805 + ... + 25136955.

Almost surely, 2^3795668880 is an apocalyptic number.

3795668880 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 3795668880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436516608).

3795668880 is an abundant number, since it is smaller than the sum of its proper divisors (9077364336).

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

3795668880 is a wasteful number, since it uses less digits than its factorization.

3795668880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The square root of 3795668880 is about 61608.9999918843. Note that the first 5 decimals coincide. The cubic root of 3795668880 is about 1559.8976592955.

The spelling of 3795668880 in words is "three billion, seven hundred ninety-five million, six hundred sixty-eight thousand, eight hundred eighty".