3946010245632 has 800 divisors, whose sum is σ = 14611670126592. Its totient is φ = 1032386052096.

The previous prime is 3946010245621. The next prime is 3946010245651. The reversal of 3946010245632 is 2365420106493.

3946010245632 is a `hidden beast` number, since 3 + 9 + 4 + 6 + 0 + 1 + 0 + 2 + 4 + 5 + 632 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 479287788 + ... + 479296020.

Almost surely, 2^{3946010245632} is an apocalyptic number.

3946010245632 is a gapful number since it is divisible by the number (32) 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 3946010245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7305835063296).

3946010245632 is an abundant number, since it is smaller than the sum of its proper divisors (10665659880960).

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

3946010245632 is a wasteful number, since it uses less digits than its factorization.

3946010245632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3946010245632 in words is "three trillion, nine hundred forty-six billion, ten million, two hundred forty-five thousand, six hundred thirty-two".