3537853562880 has 2880 divisors, whose sum is σ = 16467006044160. Its totient is φ = 722369249280.

The previous prime is 3537853562869. The next prime is 3537853562909. The reversal of 3537853562880 is 882653587353.

It is a happy number.

3537853562880 is a `hidden beast` number, since 3 + 5 + 3 + 78 + 535 + 6 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3537853562880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114124308465 + ... + 114124308495.

It is an arithmetic number, because the mean of its divisors is an integer number (5717710432).

Almost surely, 2^{3537853562880} is an apocalyptic number.

3537853562880 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 3537853562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233503022080).

3537853562880 is an abundant number, since it is smaller than the sum of its proper divisors (12929152481280).

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

3537853562880 is an frugal number, since it uses more digits than its factorization.

3537853562880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 3537853562880 in words is "three trillion, five hundred thirty-seven billion, eight hundred fifty-three million, five hundred sixty-two thousand, eight hundred eighty".