2832350976 has 720 divisors, whose sum is σ = 11080115200. Its totient is φ = 698720256.

The previous prime is 2832350951. The next prime is 2832351001. The reversal of 2832350976 is 6790532382.

It is an interprime number because it is at equal distance from previous prime (2832350951) and next prime (2832351001).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35852505 + ... + 35852583.

Almost surely, 2^2832350976 is an apocalyptic number.

2832350976 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 2832350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540057600).

2832350976 is an abundant number, since it is smaller than the sum of its proper divisors (8247764224).

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

2832350976 is a wasteful number, since it uses less digits than its factorization.

2832350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2832350976 is about 53219.8363018903. The cubic root of 2832350976 is about 1414.8672353970.

The spelling of 2832350976 in words is "two billion, eight hundred thirty-two million, three hundred fifty thousand, nine hundred seventy-six".