3799440 has 80 divisors (see below), whose sum is σ = 13094400. Its totient is φ = 1012608.

The previous prime is 3799427. The next prime is 3799447. The reversal of 3799440 is 449973.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3799395 and 3799404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3799447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281 + ... + 3039.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

Almost surely, 2^3799440 is an apocalyptic number.

3799440 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 3799440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547200).

3799440 is an abundant number, since it is smaller than the sum of its proper divisors (9294960).

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

3799440 is a wasteful number, since it uses less digits than its factorization.

3799440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3799440 is about 1949.2152267002. The cubic root of 3799440 is about 156.0414091256.

The spelling of 3799440 in words is "three million, seven hundred ninety-nine thousand, four hundred forty".