3513274128 has 480 divisors, whose sum is σ = 13394142720. Its totient is φ = 870912000.

The previous prime is 3513274091. The next prime is 3513274147. The reversal of 3513274128 is 8214723153.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3513274092 and 3513274101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4677753 + ... + 4678503.

It is an arithmetic number, because the mean of its divisors is an integer number (27904464).

Almost surely, 2^3513274128 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 3513274128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697071360).

3513274128 is an abundant number, since it is smaller than the sum of its proper divisors (9880868592).

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

3513274128 is a wasteful number, since it uses less digits than its factorization.

3513274128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 793 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3513274128 is about 59272.8785196063. The cubic root of 3513274128 is about 1520.2114964246.

The spelling of 3513274128 in words is "three billion, five hundred thirteen million, two hundred seventy-four thousand, one hundred twenty-eight".