2968346736 has 100 divisors (see below), whose sum is σ = 8887619400. Its totient is φ = 955317888.

The previous prime is 2968346729. The next prime is 2968346753. The reversal of 2968346736 is 6376438692.

2968346736 is a `hidden beast` number, since 296 + 8 + 346 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×2968346736² = 17622164690243707392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1906 + ... + 77073.

It is an arithmetic number, because the mean of its divisors is an integer number (88876194).

Almost surely, 2^2968346736 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 2968346736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443809700).

2968346736 is an abundant number, since it is smaller than the sum of its proper divisors (5919272664).

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

2968346736 is a wasteful number, since it uses less digits than its factorization.

2968346736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79028 (or 79013 counting only the distinct ones).

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

The square root of 2968346736 is about 54482.5360643206. The cubic root of 2968346736 is about 1437.1591910496.

The spelling of 2968346736 in words is "two billion, nine hundred sixty-eight million, three hundred forty-six thousand, seven hundred thirty-six".