3307029422976 has 576 divisors, whose sum is σ = 10494411127200. Its totient is φ = 998205358080.

The previous prime is 3307029422971. The next prime is 3307029423013. The reversal of 3307029422976 is 6792249207033.

3307029422976 is a `hidden beast` number, since 3 + 307 + 0 + 2 + 9 + 42 + 297 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3307029422971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4450914061 + ... + 4450914803.

Almost surely, 2^{3307029422976} is an apocalyptic number.

3307029422976 is a gapful number since it is divisible by the number (36) 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 3307029422976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247205563600).

3307029422976 is an abundant number, since it is smaller than the sum of its proper divisors (7187381704224).

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

3307029422976 is a wasteful number, since it uses less digits than its factorization.

3307029422976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 3307029422976 in words is "three trillion, three hundred seven billion, twenty-nine million, four hundred twenty-two thousand, nine hundred seventy-six".