3753840 has 40 divisors (see below), whose sum is σ = 11637648. Its totient is φ = 1000960.

The previous prime is 3753839. The next prime is 3753859. The reversal of 3753840 is 483573.

3753840 is digitally balanced in base 2, because in such base 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 (40).

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 = 3753798 and 3753807.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7581 + ... + 8060.

Almost surely, 2^3753840 is an apocalyptic number.

3753840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3753840 is an abundant number, since it is smaller than the sum of its proper divisors (7883808).

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

3753840 is a wasteful number, since it uses less digits than its factorization.

3753840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15657 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3753840 is about 1937.4829031504. The cubic root of 3753840 is about 155.4146373085.

It can be divided in two parts, 375 and 3840, that multiplied together give a square (1440000 = 1200²).

The spelling of 3753840 in words is "three million, seven hundred fifty-three thousand, eight hundred forty".