3784440 has 128 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 883200.

The previous prime is 3784433. The next prime is 3784441. The reversal of 3784440 is 444873.

3784440 = T₈₂₄ + T₈₂₅ + ... + T₈₃₄.

It is a super-2 number, since 2×3784440² = 28643972227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3784398 and 3784407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3784441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62010 + ... + 62070.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

Almost surely, 2^3784440 is an apocalyptic number.

3784440 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 3784440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

3784440 is an abundant number, since it is smaller than the sum of its proper divisors (9071880).

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

3784440 is a wasteful number, since it uses less digits than its factorization.

3784440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 3784440 is about 1945.3637192052. The cubic root of 3784440 is about 155.8357903915.

It can be divided in two parts, 3784 and 440, that added together give a palindrome (4224).

The spelling of 3784440 in words is "three million, seven hundred eighty-four thousand, four hundred forty".