3552480 has 72 divisors (see below), whose sum is σ = 12127752. Its totient is φ = 946944.

The previous prime is 3552463. The next prime is 3552491. The reversal of 3552480 is 842553.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3552480² = 25240228300800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207 + ... + 2673.

It is an arithmetic number, because the mean of its divisors is an integer number (168441).

Almost surely, 2^3552480 is an apocalyptic number.

3552480 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 3552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063876).

3552480 is an abundant number, since it is smaller than the sum of its proper divisors (8575272).

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

3552480 is a wasteful number, since it uses less digits than its factorization.

3552480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3552480 is about 1884.8023769085. The cubic root of 3552480 is about 152.5845450756.

The spelling of 3552480 in words is "three million, five hundred fifty-two thousand, four hundred eighty".