3945916423008 has 1440 divisors, whose sum is σ = 14416032153600. Its totient is φ = 1054064793600.

The previous prime is 3945916422949. The next prime is 3945916423013. The reversal of 3945916423008 is 8003246195493.

3945916423008 is a `hidden beast` number, since 3 + 9 + 4 + 591 + 6 + 42 + 3 + 0 + 0 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20659248193 + ... + 20659248383.

It is an arithmetic number, because the mean of its divisors is an integer number (10011133440).

Almost surely, 2^{3945916423008} 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 3945916423008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208016076800).

3945916423008 is an abundant number, since it is smaller than the sum of its proper divisors (10470115730592).

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

3945916423008 is a wasteful number, since it uses less digits than its factorization.

3945916423008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3945916423008 in words is "three trillion, nine hundred forty-five billion, nine hundred sixteen million, four hundred twenty-three thousand, eight".