3488732332416 has 160 divisors (see below), whose sum is σ = 10410257312400. Its totient is φ = 1159791768576.

The previous prime is 3488732332343. The next prime is 3488732332433. The reversal of 3488732332416 is 6142332378843.

3488732332416 is a `hidden beast` number, since 3 + 488 + 73 + 23 + 32 + 41 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3416205 + ... + 4318323.

Almost surely, 2^{3488732332416} is an apocalyptic number.

3488732332416 is a gapful number since it is divisible by the number (36) 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 3488732332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205128656200).

3488732332416 is an abundant number, since it is smaller than the sum of its proper divisors (6921524979984).

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

3488732332416 is an equidigital number, since it uses as much as digits as its factorization.

3488732332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902518 (or 902497 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 3488732332416 in words is "three trillion, four hundred eighty-eight billion, seven hundred thirty-two million, three hundred thirty-two thousand, four hundred sixteen".