3522876144480 has 3240 divisors, whose sum is σ = 16909805493504. Its totient is φ = 688037898240.

The previous prime is 3522876144427. The next prime is 3522876144509. The reversal of 3522876144480 is 844416782253.

3522876144480 is a `hidden beast` number, since 3 + 5 + 22 + 87 + 61 + 4 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 27739182177 + ... + 27739182303.

Almost surely, 2^{3522876144480} is an apocalyptic number.

3522876144480 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 3522876144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8454902746752).

3522876144480 is an abundant number, since it is smaller than the sum of its proper divisors (13386929349024).

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

3522876144480 is a wasteful number, since it uses less digits than its factorization.

3522876144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 3522876144480 in words is "three trillion, five hundred twenty-two billion, eight hundred seventy-six million, one hundred forty-four thousand, four hundred eighty".