3162137628 has 192 divisors, whose sum is σ = 8490682368. Its totient is φ = 909342720.

The previous prime is 3162137611. The next prime is 3162137651. The reversal of 3162137628 is 8267312613.

3162137628 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3162137628² = 19998228756826932768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20140926 + ... + 20141082.

It is an arithmetic number, because the mean of its divisors is an integer number (44222304).

Almost surely, 2^3162137628 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 3162137628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245341184).

3162137628 is an abundant number, since it is smaller than the sum of its proper divisors (5328544740).

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

3162137628 is a wasteful number, since it uses less digits than its factorization.

3162137628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3162137628 is about 56232.8874236420. The cubic root of 3162137628 is about 1467.7776015773. Note that the first 3 decimals are identical.

The spelling of 3162137628 in words is "three billion, one hundred sixty-two million, one hundred thirty-seven thousand, six hundred twenty-eight".