3443208048000 has 3072 divisors, whose sum is σ = 15672683520000. Its totient is φ = 739694592000.

The previous prime is 3443208047987. The next prime is 3443208048013. The reversal of 3443208048000 is 8408023443.

3443208048000 is a `hidden beast` number, since 3 + 443 + 208 + 0 + 4 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3443208047987) and next prime (3443208048013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43584911961 + ... + 43584912039.

It is an arithmetic number, because the mean of its divisors is an integer number (5101785000).

Almost surely, 2^{3443208048000} is an apocalyptic number.

3443208048000 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 3443208048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836341760000).

3443208048000 is an abundant number, since it is smaller than the sum of its proper divisors (12229475472000).

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

3443208048000 is a wasteful number, since it uses less digits than its factorization.

3443208048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 3443208048000 in words is "three trillion, four hundred forty-three billion, two hundred eight million, forty-eight thousand".