3949100614008 has 1152 divisors, whose sum is σ = 13208942073600. Its totient is φ = 1095408230400.

The previous prime is 3949100613973. The next prime is 3949100614013. The reversal of 3949100614008 is 8004160019493.

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 287 ways as a sum of consecutive naturals, for example, 40712377416 + ... + 40712377512.

It is an arithmetic number, because the mean of its divisors is an integer number (11466095550).

Almost surely, 2^{3949100614008} 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 3949100614008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604471036800).

3949100614008 is an abundant number, since it is smaller than the sum of its proper divisors (9259841459592).

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

3949100614008 is a wasteful number, since it uses less digits than its factorization.

3949100614008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 3949100614008 in words is "three trillion, nine hundred forty-nine billion, one hundred million, six hundred fourteen thousand, eight".