2963379234816 has 1152 divisors, whose sum is σ = 11684334654720. Its totient is φ = 698587545600.

The previous prime is 2963379234811. The next prime is 2963379234817. The reversal of 2963379234816 is 6184329733692.

2963379234816 is a `hidden beast` number, since 2 + 9 + 63 + 3 + 7 + 92 + 3 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2963379234811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1125475036 + ... + 1125477668.

It is an arithmetic number, because the mean of its divisors is an integer number (10142651610).

Almost surely, 2^{2963379234816} is an apocalyptic number.

2963379234816 is a gapful number since it is divisible by the number (26) 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 2963379234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842167327360).

2963379234816 is an abundant number, since it is smaller than the sum of its proper divisors (8720955419904).

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

2963379234816 is a wasteful number, since it uses less digits than its factorization.

2963379234816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2730 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 2963379234816 in words is "two trillion, nine hundred sixty-three billion, three hundred seventy-nine million, two hundred thirty-four thousand, eight hundred sixteen".