3951255672 has 192 divisors, whose sum is σ = 13208832000. Its totient is φ = 1039087872.

The previous prime is 3951255653. The next prime is 3951255677. The reversal of 3951255672 is 2765521593.

3951255672 is a `hidden beast` number, since 3 + 95 + 1 + 2 + 556 + 7 + 2 = 666.

It is a super-2 number, since 2×3951255672² = 31224842771024343168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3951255677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3137779 + ... + 3139037.

It is an arithmetic number, because the mean of its divisors is an integer number (68796000).

Almost surely, 2^3951255672 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 3951255672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416000).

3951255672 is an abundant number, since it is smaller than the sum of its proper divisors (9257576328).

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

3951255672 is a wasteful number, since it uses less digits than its factorization.

3951255672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1763 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 3951255672 is about 62859.0142461684. The cubic root of 3951255672 is about 1580.9266145078.

The spelling of 3951255672 in words is "three billion, nine hundred fifty-one million, two hundred fifty-five thousand, six hundred seventy-two".