3259498046464 has 297 divisors, whose sum is σ = 7520664074259. Its totient is φ = 1410818027520.

The previous prime is 3259498046461. The next prime is 3259498046471. The reversal of 3259498046464 is 4646408949523.

The square root of 3259498046464 is 1805408.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 3259498046396 and 3259498046405.

It is not an unprimeable number, because it can be changed into a prime (3259498046461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14616583057 + ... + 14616583279.

Almost surely, 2^{3259498046464} is an apocalyptic number.

3259498046464 is the 1805408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3259498046464

3259498046464 is an abundant number, since it is smaller than the sum of its proper divisors (4261166027795).

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

3259498046464 is an equidigital number, since it uses as much as digits as its factorization.

3259498046464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 64.

Multiplying 3259498046464 by its sum of digits (64), we get a square (208607874973696 = 14443264²).

3259498046464 divided by its sum of digits (64) gives a square (50929656976 = 225676²).

The spelling of 3259498046464 in words is "three trillion, two hundred fifty-nine billion, four hundred ninety-eight million, forty-six thousand, four hundred sixty-four".