3459800882916 has 243 divisors, whose sum is σ = 10343218946697. Its totient is φ = 972287426880.

The previous prime is 3459800882903. The next prime is 3459800882963. The reversal of 3459800882916 is 6192880089543.

The square root of 3459800882916 is 1860054.

It is a perfect power (a square), and thus also a powerful number.

3459800882916 is a `hidden beast` number, since 3 + 4 + 598 + 0 + 0 + 8 + 8 + 29 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2747127242916 + 712673640000 = 1657446^2 + 844200^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5234191626 + ... + 5234192286.

Almost surely, 2^{3459800882916} is an apocalyptic number.

3459800882916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3459800882916 is the 1860054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3459800882916

3459800882916 is an abundant number, since it is smaller than the sum of its proper divisors (6883418063781).

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

3459800882916 is an equidigital number, since it uses as much as digits as its factorization.

3459800882916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 3459800882916 in words is "three trillion, four hundred fifty-nine billion, eight hundred million, eight hundred eighty-two thousand, nine hundred sixteen".