3488316480 has 336 divisors, whose sum is σ = 13194792000. Its totient is φ = 838840320.

The previous prime is 3488316437. The next prime is 3488316499. The reversal of 3488316480 is 846138843.

3488316480 is a `hidden beast` number, since 3 + 488 + 3 + 164 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 4719951 + ... + 4720689.

Almost surely, 2^3488316480 is an apocalyptic number.

3488316480 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 3488316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597396000).

3488316480 is an abundant number, since it is smaller than the sum of its proper divisors (9706475520).

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

3488316480 is a wasteful number, since it uses less digits than its factorization.

3488316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3488316480 is about 59061.9715214452. The cubic root of 3488316480 is about 1516.6031717303.

The spelling of 3488316480 in words is "three billion, four hundred eighty-eight million, three hundred sixteen thousand, four hundred eighty".