3458181872000 has 64 divisors (see below), whose sum is σ = 8597904719040. Its totient is φ = 1383272742400.

The previous prime is 3458181871999. The next prime is 3458181872029. The reversal of 3458181872000 is 2781818543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108052184 + ... + 108084183.

It is an arithmetic number, because the mean of its divisors is an integer number (134342261235).

Almost surely, 2^{3458181872000} is an apocalyptic number.

It is an amenable number.

3458181872000 is an abundant number, since it is smaller than the sum of its proper divisors (5139722847040).

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

3458181872000 is an equidigital number, since it uses as much as digits as its factorization.

3458181872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216136396 (or 216136374 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 3458181872000 in words is "three trillion, four hundred fifty-eight billion, one hundred eighty-one million, eight hundred seventy-two thousand".