3488378520 has 128 divisors (see below), whose sum is σ = 11430720000. Its totient is φ = 844615680.

The previous prime is 3488378503. The next prime is 3488378533. The reversal of 3488378520 is 258738843.

It is a self number, because there is not a number n which added to its sum of digits gives 3488378520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1845736 + ... + 1847624.

It is an arithmetic number, because the mean of its divisors is an integer number (89302500).

Almost surely, 2^3488378520 is an apocalyptic number.

3488378520 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 3488378520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360000).

3488378520 is an abundant number, since it is smaller than the sum of its proper divisors (7942341480).

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

3488378520 is a wasteful number, since it uses less digits than its factorization.

3488378520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 3488378520 is about 59062.4967301586. The cubic root of 3488378520 is about 1516.6121626484.

The spelling of 3488378520 in words is "three billion, four hundred eighty-eight million, three hundred seventy-eight thousand, five hundred twenty".