3516765092416 has 63 divisors (see below), whose sum is σ = 7413770475579. Its totient is φ = 1654828259328.

The previous prime is 3516765092411. The next prime is 3516765092459. The reversal of 3516765092416 is 6142905676153.

It is a happy number.

The square root of 3516765092416 is 1875304.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2193124046400 + 1323641046016 = 1480920^2 + 1150496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3516765092411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 255034450 + ... + 255048238.

Almost surely, 2^{3516765092416} is an apocalyptic number.

3516765092416 is the 1875304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3516765092416

3516765092416 is an abundant number, since it is smaller than the sum of its proper divisors (3897005383163).

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

3516765092416 is an frugal number, since it uses more digits than its factorization.

3516765092416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27624 (or 13808 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 3516765092416 in words is "three trillion, five hundred sixteen billion, seven hundred sixty-five million, ninety-two thousand, four hundred sixteen".