3488002560 has 640 divisors, whose sum is σ = 14495500800. Its totient is φ = 788299776.

The previous prime is 3488002547. The next prime is 3488002571. The reversal of 3488002560 is 652008843.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39190996 + ... + 39191084.

It is an arithmetic number, because the mean of its divisors is an integer number (22649220).

It is a vampire number, since it can be written as 40320 ⋅ 86508 (with its own digits).

Almost surely, 2^3488002560 is an apocalyptic number.

3488002560 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 3488002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247750400).

3488002560 is an abundant number, since it is smaller than the sum of its proper divisors (11007498240).

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

3488002560 is an frugal number, since it uses more digits than its factorization.

3488002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3488002560 is about 59059.3139140644. The cubic root of 3488002560 is about 1516.5576763983.

The spelling of 3488002560 in words is "three billion, four hundred eighty-eight million, two thousand, five hundred sixty".