3906609467376 has 360 divisors, whose sum is σ = 13147556908752. Its totient is φ = 995554560000.

The previous prime is 3906609467363. The next prime is 3906609467389. The reversal of 3906609467376 is 6737649066093.

3906609467376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3906609467363) and next prime (3906609467389).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14953876 + ... + 15212876.

Almost surely, 2^{3906609467376} 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 3906609467376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573778454376).

3906609467376 is an abundant number, since it is smaller than the sum of its proper divisors (9240947441376).

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

3906609467376 is a wasteful number, since it uses less digits than its factorization.

3906609467376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259101 (or 259077 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 66.

The spelling of 3906609467376 in words is "three trillion, nine hundred six billion, six hundred nine million, four hundred sixty-seven thousand, three hundred seventy-six".