3799980000 has 480 divisors, whose sum is σ = 14359403520. Its totient is φ = 976320000.

The previous prime is 3799979977. The next prime is 3799980001. The reversal of 3799980000 is 899973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3799980001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16739887 + ... + 16740113.

It is an arithmetic number, because the mean of its divisors is an integer number (29915424).

Almost surely, 2^3799980000 is an apocalyptic number.

3799980000 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 3799980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179701760).

3799980000 is an abundant number, since it is smaller than the sum of its proper divisors (10559423520).

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

3799980000 is a wasteful number, since it uses less digits than its factorization.

3799980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 3799980000 is about 61643.9778080552. The cubic root of 3799980000 is about 1560.4880130000.

The spelling of 3799980000 in words is "three billion, seven hundred ninety-nine million, nine hundred eighty thousand".