3488746464 has 240 divisors, whose sum is σ = 11928470400. Its totient is φ = 979589376.

The previous prime is 3488746453. The next prime is 3488746483. The reversal of 3488746464 is 4646478843.

3488746464 is a `hidden beast` number, since 3 + 48 + 87 + 464 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3488746464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1068867 + ... + 1072125.

It is an arithmetic number, because the mean of its divisors is an integer number (49701960).

Almost surely, 2^3488746464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3488746464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964235200).

3488746464 is an abundant number, since it is smaller than the sum of its proper divisors (8439723936).

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

3488746464 is a wasteful number, since it uses less digits than its factorization.

3488746464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3330 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The square root of 3488746464 is about 59065.6115180398. The cubic root of 3488746464 is about 1516.6654833841.

The spelling of 3488746464 in words is "three billion, four hundred eighty-eight million, seven hundred forty-six thousand, four hundred sixty-four".