3714480 has 240 divisors, whose sum is σ = 15784704. Its totient is φ = 760320.

The previous prime is 3714479. The next prime is 3714493. The reversal of 3714480 is 844173.

3714480 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 (240).

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 47 ways as a sum of consecutive naturals, for example, 55407 + ... + 55473.

Almost surely, 2^3714480 is an apocalyptic number.

3714480 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 3714480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892352).

3714480 is an abundant number, since it is smaller than the sum of its proper divisors (12070224).

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

3714480 is a wasteful number, since it uses less digits than its factorization.

3714480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3714480 is about 1927.2986276133. The cubic root of 3714480 is about 154.8695398959.

It can be divided in two parts, 371 and 4480, that added together give a triangular number (4851 = T₉₈).

The spelling of 3714480 in words is "three million, seven hundred fourteen thousand, four hundred eighty".