3557213573760 has 5120 divisors, whose sum is σ = 18426507264000. Its totient is φ = 630639820800.

The previous prime is 3557213573731. The next prime is 3557213573803. The reversal of 3557213573760 is 673753127553.

3557213573760 is a `hidden beast` number, since 3 + 5 + 5 + 7 + 2 + 1 + 3 + 573 + 7 + 60 = 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 = 3557213573697 and 3557213573706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 39968691796 + ... + 39968691884.

It is an arithmetic number, because the mean of its divisors is an integer number (3598927200).

Almost surely, 2^{3557213573760} is an apocalyptic number.

3557213573760 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 3557213573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213253632000).

3557213573760 is an abundant number, since it is smaller than the sum of its proper divisors (14869293690240).

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

3557213573760 is a wasteful number, since it uses less digits than its factorization.

3557213573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 13891500, while the sum is 54.

The spelling of 3557213573760 in words is "three trillion, five hundred fifty-seven billion, two hundred thirteen million, five hundred seventy-three thousand, seven hundred sixty".