3949208172 has 288 divisors, whose sum is σ = 13037932544. Its totient is φ = 979776000.

The previous prime is 3949208167. The next prime is 3949208177. The reversal of 3949208172 is 2718029493.

3949208172 is a `hidden beast` number, since 394 + 92 + 0 + 8 + 172 = 666.

It is an interprime number because it is at equal distance from previous prime (3949208167) and next prime (3949208177).

It is not an unprimeable number, because it can be changed into a prime (3949208177) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3757047 + ... + 3758097.

Almost surely, 2^3949208172 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 3949208172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518966272).

3949208172 is an abundant number, since it is smaller than the sum of its proper divisors (9088724372).

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

3949208172 is a wasteful number, since it uses less digits than its factorization.

3949208172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3949208172 is about 62842.7256888178. The cubic root of 3949208172 is about 1580.6534940291.

The spelling of 3949208172 in words is "three billion, nine hundred forty-nine million, two hundred eight thousand, one hundred seventy-two".