3545370028512 has 480 divisors, whose sum is σ = 11337052446720. Its totient is φ = 1080422323200.

The previous prime is 3545370028489. The next prime is 3545370028549. The reversal of 3545370028512 is 2158200735453.

3545370028512 is a `hidden beast` number, since 3 + 5 + 45 + 3 + 70 + 0 + 28 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2131911393 + ... + 2131913055.

It is an arithmetic number, because the mean of its divisors is an integer number (23618859264).

Almost surely, 2^{3545370028512} is an apocalyptic number.

3545370028512 is a gapful number since it is divisible by the number (32) 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 3545370028512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668526223360).

3545370028512 is an abundant number, since it is smaller than the sum of its proper divisors (7791682418208).

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

3545370028512 is a wasteful number, since it uses less digits than its factorization.

3545370028512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 3545370028512 in words is "three trillion, five hundred forty-five billion, three hundred seventy million, twenty-eight thousand, five hundred twelve".