3924480 has 160 divisors (see below), whose sum is σ = 14534784. Its totient is φ = 884736.

The previous prime is 3924461. The next prime is 3924497. The reversal of 3924480 is 844293.

3924480 = T₁₅₅ + T₁₅₆ + ... + T₃₀₀.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53724 + ... + 53796.

Almost surely, 2^3924480 is an apocalyptic number.

3924480 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 3924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267392).

3924480 is an abundant number, since it is smaller than the sum of its proper divisors (10610304).

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

3924480 is an equidigital number, since it uses as much as digits as its factorization.

3924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3924480 is about 1981.0300351080. The cubic root of 3924480 is about 157.7347469477.

3924480 divided by its sum of digits (30) gives a triangular number (130816 = T₅₁₁).

The spelling of 3924480 in words is "three million, nine hundred twenty-four thousand, four hundred eighty".