3945480 has 192 divisors, whose sum is σ = 15266880. Its totient is φ = 806400.

The previous prime is 3945467. The next prime is 3945527. The reversal of 3945480 is 845493.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64650 + ... + 64710.

It is an arithmetic number, because the mean of its divisors is an integer number (79515).

Almost surely, 2^3945480 is an apocalyptic number.

3945480 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 3945480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633440).

3945480 is an abundant number, since it is smaller than the sum of its proper divisors (11321400).

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

3945480 is a wasteful number, since it uses less digits than its factorization.

3945480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3945480 is about 1986.3232365353. The cubic root of 3945480 is about 158.0155942521.

The spelling of 3945480 in words is "three million, nine hundred forty-five thousand, four hundred eighty".