3484820828160 has 2080 divisors, whose sum is σ = 15345252679680. Its totient is φ = 738421899264.

The previous prime is 3484820828059. The next prime is 3484820828161. The reversal of 3484820828160 is 618280284843.

3484820828160 is a `hidden beast` number, since 3 + 4 + 8 + 482 + 0 + 82 + 81 + 6 + 0 = 666.

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 = 3484820828097 and 3484820828106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484820828161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25070653371 + ... + 25070653509.

Almost surely, 2^{3484820828160} is an apocalyptic number.

3484820828160 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 3484820828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672626339840).

3484820828160 is an abundant number, since it is smaller than the sum of its proper divisors (11860431851520).

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

3484820828160 is a wasteful number, since it uses less digits than its factorization.

3484820828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 3484820828160 in words is "three trillion, four hundred eighty-four billion, eight hundred twenty million, eight hundred twenty-eight thousand, one hundred sixty".