3516736960 has 168 divisors, whose sum is σ = 9707325264. Its totient is φ = 1203240960.

The previous prime is 3516736957. The next prime is 3516736969. The reversal of 3516736960 is 696376153.

It is a self number, because there is not a number n which added to its sum of digits gives 3516736960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3516736969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015552 + ... + 1019008.

It is an arithmetic number, because the mean of its divisors is an integer number (57781698).

Almost surely, 2^3516736960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3516736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853662632).

3516736960 is an abundant number, since it is smaller than the sum of its proper divisors (6190588304).

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

3516736960 is a wasteful number, since it uses less digits than its factorization.

3516736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The square root of 3516736960 is about 59302.0822568651. The cubic root of 3516736960 is about 1520.7107940617.

It can be divided in two parts, 35167 and 36960, that added together give a palindrome (72127).

The spelling of 3516736960 in words is "three billion, five hundred sixteen million, seven hundred thirty-six thousand, nine hundred sixty".