3803719680 has 288 divisors, whose sum is σ = 13319397000. Its totient is φ = 1003880448.

The previous prime is 3803719679. The next prime is 3803719693. The reversal of 3803719680 is 869173083.

It is a happy number.

3803719680 is a `hidden beast` number, since 380 + 3 + 7 + 196 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1617970176 + 2185749504 = 40224^2 + 46752^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13731702 + ... + 13731978.

Almost surely, 2^3803719680 is an apocalyptic number.

3803719680 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 3803719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659698500).

3803719680 is an abundant number, since it is smaller than the sum of its proper divisors (9515677320).

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

3803719680 is a wasteful number, since it uses less digits than its factorization.

3803719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3803719680 is about 61674.3032388693. The cubic root of 3803719680 is about 1560.9997536306. Note that the first 3 decimals are identical.

The spelling of 3803719680 in words is "three billion, eight hundred three million, seven hundred nineteen thousand, six hundred eighty".