3777960 has 64 divisors (see below), whose sum is σ = 11937600. Its totient is φ = 953856.

The previous prime is 3777953. The next prime is 3777967. The reversal of 3777960 is 697773.

3777960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3777953) and next prime (3777967).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3777967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1452 + ... + 3108.

It is an arithmetic number, because the mean of its divisors is an integer number (186525).

Almost surely, 2^3777960 is an apocalyptic number.

3777960 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 3777960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968800).

3777960 is an abundant number, since it is smaller than the sum of its proper divisors (8159640).

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

3777960 is a wasteful number, since it uses less digits than its factorization.

3777960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 39.

The square root of 3777960 is about 1943.6975073298. The cubic root of 3777960 is about 155.7467950288.

It can be divided in two parts, 3 and 777960, that multiplied together give a triangular number (2333880 = T₂₁₆₀).

The spelling of 3777960 in words is "three million, seven hundred seventy-seven thousand, nine hundred sixty".