3799980 has 96 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 976320.

The previous prime is 3799973. The next prime is 3800021. The reversal of 3799980 is 899973.

3799980 = 335² + 336² + ... + 365².

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16627 + ... + 16853.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 2^3799980 is an apocalyptic number.

3799980 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 3799980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

3799980 is an abundant number, since it is smaller than the sum of its proper divisors (8457300).

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

3799980 is a wasteful number, since it uses less digits than its factorization.

3799980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

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

The square root of 3799980 is about 1949.3537390633. The cubic root of 3799980 is about 156.0488013000.

The spelling of 3799980 in words is "three million, seven hundred ninety-nine thousand, nine hundred eighty".