3768840 has 144 divisors (see below), whose sum is σ = 13373100. Its totient is φ = 919296.

The previous prime is 3768839. The next prime is 3768841. The reversal of 3768840 is 488673.

It is an interprime number because it is at equal distance from previous prime (3768839) and next prime (3768841).

It can be written as a sum of positive squares in 2 ways, for example, as 3755844 + 12996 = 1938^2 + 114^2 .

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 = 3768795 and 3768804.

It is not an unprimeable number, because it can be changed into a prime (3768841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129946 + ... + 129974.

Almost surely, 2^3768840 is an apocalyptic number.

3768840 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 3768840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686550).

3768840 is an abundant number, since it is smaller than the sum of its proper divisors (9604260).

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

3768840 is a wasteful number, since it uses less digits than its factorization.

3768840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3768840 is about 1941.3500457156. The cubic root of 3768840 is about 155.6213697319.

It can be divided in two parts, 376 and 8840, that added together give a square (9216 = 96²).

The spelling of 3768840 in words is "three million, seven hundred sixty-eight thousand, eight hundred forty".