3906208152 has 320 divisors, whose sum is σ = 13774717440. Its totient is φ = 1013031360.

The previous prime is 3906208087. The next prime is 3906208169. The reversal of 3906208152 is 2518026093.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6037093 + ... + 6037739.

It is an arithmetic number, because the mean of its divisors is an integer number (43045992).

Almost surely, 2^3906208152 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 3906208152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887358720).

3906208152 is an abundant number, since it is smaller than the sum of its proper divisors (9868509288).

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

3906208152 is a wasteful number, since it uses less digits than its factorization.

3906208152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3906208152 is about 62499.6652151034. The cubic root of 3906208152 is about 1574.8956883297.

The spelling of 3906208152 in words is "three billion, nine hundred six million, two hundred eight thousand, one hundred fifty-two".