3461127152000 has 192 divisors, whose sum is σ = 10010164731840. Its totient is φ = 1186671897600.

The previous prime is 3461127151987. The next prime is 3461127152023. The reversal of 3461127152000 is 2517211643.

It is a super-2 number, since 2×3461127152000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1423352 + ... + 2991351.

It is an arithmetic number, because the mean of its divisors is an integer number (52136274645).

Almost surely, 2^{3461127152000} is an apocalyptic number.

It is an amenable number.

3461127152000 is an abundant number, since it is smaller than the sum of its proper divisors (6549037579840).

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

3461127152000 is an equidigital number, since it uses as much as digits as its factorization.

3461127152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414746 (or 4414717 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 3461127152000 in words is "three trillion, four hundred sixty-one billion, one hundred twenty-seven million, one hundred fifty-two thousand".