3906287406 has 192 divisors, whose sum is σ = 10513152000. Its totient is φ = 1023487488.

The previous prime is 3906287381. The next prime is 3906287447. The reversal of 3906287406 is 6047826093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16765066 + ... + 16765298.

It is an arithmetic number, because the mean of its divisors is an integer number (54756000).

Almost surely, 2^3906287406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906287406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256576000).

3906287406 is an abundant number, since it is smaller than the sum of its proper divisors (6606864594).

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

3906287406 is a wasteful number, since it uses less digits than its factorization.

3906287406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3906287406 is about 62500.2992472836. The cubic root of 3906287406 is about 1574.9063394039.

The spelling of 3906287406 in words is "three billion, nine hundred six million, two hundred eighty-seven thousand, four hundred six".