3516480 has 224 divisors, whose sum is σ = 13898880. Its totient is φ = 829440.

The previous prime is 3516437. The next prime is 3516509. The reversal of 3516480 is 846153.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95022 + ... + 95058.

Almost surely, 2^3516480 is an apocalyptic number.

3516480 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 3516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949440).

3516480 is an abundant number, since it is smaller than the sum of its proper divisors (10382400).

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

3516480 is a wasteful number, since it uses less digits than its factorization.

3516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3516480 is about 1875.2279861393. The cubic root of 3516480 is about 152.0673754862.

3516480 divided by its product of nonzero digits (2880) gives a palindrome (1221).

The spelling of 3516480 in words is "three million, five hundred sixteen thousand, four hundred eighty".