3780840 has 96 divisors (see below), whose sum is σ = 13214880. Its totient is φ = 862848.

The previous prime is 3780839. The next prime is 3780857. The reversal of 3780840 is 480873.

3780840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3780840² = 28589502211200, 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 = 3780798 and 3780807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5559 + ... + 6201.

It is an arithmetic number, because the mean of its divisors is an integer number (137655).

Almost surely, 2^3780840 is an apocalyptic number.

3780840 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 3780840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607440).

3780840 is an abundant number, since it is smaller than the sum of its proper divisors (9434040).

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

3780840 is a wasteful number, since it uses less digits than its factorization.

3780840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3780840 is about 1944.4382222123. The cubic root of 3780840 is about 155.7863610767.

The spelling of 3780840 in words is "three million, seven hundred eighty thousand, eight hundred forty".