3128492901960 has 480 divisors, whose sum is σ = 11116323603000. Its totient is φ = 788987713536.

The previous prime is 3128492901943. The next prime is 3128492901973. The reversal of 3128492901960 is 691092948213.

3128492901960 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 492 + 90 + 1 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1555961853924 + 1572531048036 = 1247382^2 + 1254006^2 .

It is a super-2 number, since 2×3128492901960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3128492901897 and 3128492901906.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 152532186 + ... + 152552694.

Almost surely, 2^{3128492901960} is an apocalyptic number.

3128492901960 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 3128492901960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558161801500).

3128492901960 is an abundant number, since it is smaller than the sum of its proper divisors (7987830701040).

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

3128492901960 is a wasteful number, since it uses less digits than its factorization.

3128492901960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20667 (or 20631 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 3128492901960 in words is "three trillion, one hundred twenty-eight billion, four hundred ninety-two million, nine hundred one thousand, nine hundred sixty".