3504458880 has 384 divisors, whose sum is σ = 13803819120. Its totient is φ = 811597824.

The previous prime is 3504458879. The next prime is 3504458989. The reversal of 3504458880 is 888544053.

3504458880 is a `hidden beast` number, since 3 + 50 + 445 + 88 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2237668416 + 1266790464 = 47304^2 + 35592^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3504458880² = 24562464083221708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1271584 + ... + 1274336.

Almost surely, 2^3504458880 is an apocalyptic number.

3504458880 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 3504458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901909560).

3504458880 is an abundant number, since it is smaller than the sum of its proper divisors (10299360240).

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

3504458880 is a wasteful number, since it uses less digits than its factorization.

3504458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 3504458880 is about 59198.4702505056. The cubic root of 3504458880 is about 1518.9389640407.

The spelling of 3504458880 in words is "three billion, five hundred four million, four hundred fifty-eight thousand, eight hundred eighty".