2832676704 has 384 divisors, whose sum is σ = 9845660160. Its totient is φ = 781056000.

The previous prime is 2832676681. The next prime is 2832676723. The reversal of 2832676704 is 4076762382.

2832676704 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2832676704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12478639 + ... + 12478865.

It is an arithmetic number, because the mean of its divisors is an integer number (25639740).

Almost surely, 2^2832676704 is an apocalyptic number.

2832676704 is a gapful number since it is divisible by the number (24) 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 2832676704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922830080).

2832676704 is an abundant number, since it is smaller than the sum of its proper divisors (7012983456).

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

2832676704 is a wasteful number, since it uses less digits than its factorization.

2832676704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2832676704 is about 53222.8964262562. The cubic root of 2832676704 is about 1414.9214711671.

The spelling of 2832676704 in words is "two billion, eight hundred thirty-two million, six hundred seventy-six thousand, seven hundred four".