3172616040 has 256 divisors, whose sum is σ = 10707552000. Its totient is φ = 745472000.

The previous prime is 3172616017. The next prime is 3172616047. The reversal of 3172616040 is 406162713.

3172616040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3172615989 and 3172616007.

It is not an unprimeable number, because it can be changed into a prime (3172616047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7065736 + ... + 7066184.

It is an arithmetic number, because the mean of its divisors is an integer number (41826375).

Almost surely, 2^3172616040 is an apocalyptic number.

3172616040 is a gapful number since it is divisible by the number (30) 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 3172616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353776000).

3172616040 is an abundant number, since it is smaller than the sum of its proper divisors (7534935960).

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

3172616040 is a wasteful number, since it uses less digits than its factorization.

3172616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3172616040 is about 56325.9801512588. The cubic root of 3172616040 is about 1469.3970779333.

Adding to 3172616040 its reverse (406162713), we get a palindrome (3578778753).

The spelling of 3172616040 in words is "three billion, one hundred seventy-two million, six hundred sixteen thousand, forty".