2963216738340 has 288 divisors, whose sum is σ = 9233875778400. Its totient is φ = 768876945408.

The previous prime is 2963216738333. The next prime is 2963216738389. The reversal of 2963216738340 is 438376123692.

2963216738340 is a `hidden beast` number, since 2 + 9 + 6 + 3 + 216 + 7 + 383 + 40 = 666.

2963216738340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 517639958784 + 2445576779556 = 719472^2 + 1563834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1246619232 + ... + 1246621608.

It is an arithmetic number, because the mean of its divisors is an integer number (32062068675).

Almost surely, 2^{2963216738340} is an apocalyptic number.

2963216738340 is a gapful number since it is divisible by the number (20) 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 2963216738340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616937889200).

2963216738340 is an abundant number, since it is smaller than the sum of its proper divisors (6270659040060).

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

2963216738340 is a wasteful number, since it uses less digits than its factorization.

2963216738340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2963216738340 in words is "two trillion, nine hundred sixty-three billion, two hundred sixteen million, seven hundred thirty-eight thousand, three hundred forty".