3949041102336 has 2240 divisors, whose sum is σ = 14838867394560. Its totient is φ = 1034643456000.

The previous prime is 3949041102299. The next prime is 3949041102337. The reversal of 3949041102336 is 6332011409493.

It is a happy number.

3949041102336 is a `hidden beast` number, since 3 + 94 + 90 + 41 + 102 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3949041102291 and 3949041102300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3949041102337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 55620297181 + ... + 55620297251.

Almost surely, 2^{3949041102336} is an apocalyptic number.

3949041102336 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 3949041102336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419433697280).

3949041102336 is an abundant number, since it is smaller than the sum of its proper divisors (10889826292224).

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

3949041102336 is a wasteful number, since it uses less digits than its factorization.

3949041102336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 3949041102336 in words is "three trillion, nine hundred forty-nine billion, forty-one million, one hundred two thousand, three hundred thirty-six".