3906660672 has 224 divisors, whose sum is σ = 11944258560. Its totient is φ = 1250795520.

The previous prime is 3906660613. The next prime is 3906660697. The reversal of 3906660672 is 2760666093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12481188 + ... + 12481500.

Almost surely, 2^3906660672 is an apocalyptic number.

3906660672 is a gapful number since it is divisible by the number (32) 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 3906660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972129280).

3906660672 is an abundant number, since it is smaller than the sum of its proper divisors (8037597888).

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

3906660672 is a wasteful number, since it uses less digits than its factorization.

3906660672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3906660672 is about 62503.2852896550. The cubic root of 3906660672 is about 1574.9565012930.

The spelling of 3906660672 in words is "three billion, nine hundred six million, six hundred sixty thousand, six hundred seventy-two".