3488425649280 has 768 divisors, whose sum is σ = 14165745834240. Its totient is φ = 779863818240.

The previous prime is 3488425649279. The next prime is 3488425649323. The reversal of 3488425649280 is 829465248843.

3488425649280 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 42 + 564 + 9 + 28 + 0 = 666.

It is a super-2 number, since 2×3488425649280² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1521335814 + ... + 1521338106.

It is an arithmetic number, because the mean of its divisors is an integer number (18444981555).

Almost surely, 2^{3488425649280} is an apocalyptic number.

3488425649280 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 3488425649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082872917120).

3488425649280 is an abundant number, since it is smaller than the sum of its proper divisors (10677320184960).

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

3488425649280 is a wasteful number, since it uses less digits than its factorization.

3488425649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 3488425649280 in words is "three trillion, four hundred eighty-eight billion, four hundred twenty-five million, six hundred forty-nine thousand, two hundred eighty".