3170400772 has 96 divisors (see below), whose sum is σ = 7082256384. Its totient is φ = 1206105600.

The previous prime is 3170400769. The next prime is 3170400773. The reversal of 3170400772 is 2770040713.

3170400772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3170400773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2470443 + ... + 2471725.

It is an arithmetic number, because the mean of its divisors is an integer number (73773504).

Almost surely, 2^3170400772 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 3170400772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541128192).

3170400772 is an abundant number, since it is smaller than the sum of its proper divisors (3911855612).

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

3170400772 is a wasteful number, since it uses less digits than its factorization.

3170400772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 3170400772 is about 56306.3120085129. The cubic root of 3170400772 is about 1469.0549978536.

The spelling of 3170400772 in words is "three billion, one hundred seventy million, four hundred thousand, seven hundred seventy-two".