3484565061120 has 960 divisors, whose sum is σ = 15012055041984. Its totient is φ = 733882613760.

The previous prime is 3484565061119. The next prime is 3484565061139. The reversal of 3484565061120 is 211605654843.

3484565061120 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 5 + 6 + 5 + 0 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55979134 + ... + 56041346.

Almost surely, 2^{3484565061120} is an apocalyptic number.

3484565061120 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 3484565061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506027520992).

3484565061120 is an abundant number, since it is smaller than the sum of its proper divisors (11527489980864).

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

3484565061120 is a wasteful number, since it uses less digits than its factorization.

3484565061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62283 (or 62264 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 3484565061120 in words is "three trillion, four hundred eighty-four billion, five hundred sixty-five million, sixty-one thousand, one hundred twenty".