3754960 has 80 divisors (see below), whose sum is σ = 10124352. Its totient is φ = 1280000.

The previous prime is 3754921. The next prime is 3754963. The reversal of 3754960 is 694573.

3754960 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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 (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3754963) 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, 14835 + ... + 15085.

Almost surely, 2^3754960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3754960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176).

3754960 is an abundant number, since it is smaller than the sum of its proper divisors (6369392).

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

3754960 is a wasteful number, since it uses less digits than its factorization.

3754960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 3754960 is about 1937.7719164030. The cubic root of 3754960 is about 155.4300923346.

It can be divided in two parts, 375 and 4960, that added together give a palindrome (5335).

The spelling of 3754960 in words is "three million, seven hundred fifty-four thousand, nine hundred sixty".