3488407040 has 80 divisors (see below), whose sum is σ = 8378370000. Its totient is φ = 1392967680.

The previous prime is 3488407019. The next prime is 3488407057. The reversal of 3488407040 is 407048843.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3488406985 and 3488407003.

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 7 ways as a sum of consecutive naturals, for example, 2792336 + ... + 2793584.

It is an arithmetic number, because the mean of its divisors is an integer number (104729625).

Almost surely, 2^3488407040 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 3488407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189185000).

3488407040 is an abundant number, since it is smaller than the sum of its proper divisors (4889962960).

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

3488407040 is a wasteful number, since it uses less digits than its factorization.

3488407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 3488407040 is about 59062.7381688320. The cubic root of 3488407040 is about 1516.6162957684.

The spelling of 3488407040 in words is "three billion, four hundred eighty-eight million, four hundred seven thousand, forty".