3483543456900 has 216 divisors, whose sum is σ = 11802295965824. Its totient is φ = 854322681600.

The previous prime is 3483543456889. The next prime is 3483543456929. The reversal of 3483543456900 is 96543453843.

3483543456900 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 543 + 4 + 5 + 6 + 90 + 0 = 666.

It is a super-2 number, since 2×3483543456900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2621367 + ... + 3720033.

Almost surely, 2^{3483543456900} is an apocalyptic number.

3483543456900 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 3483543456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901147982912).

3483543456900 is an abundant number, since it is smaller than the sum of its proper divisors (8318752508924).

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

3483543456900 is a wasteful number, since it uses less digits than its factorization.

3483543456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098971 (or 1098961 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 3483543456900 in words is "three trillion, four hundred eighty-three billion, five hundred forty-three million, four hundred fifty-six thousand, nine hundred".