3463742475648 has 2304 divisors, whose sum is σ = 13679314084800. Its totient is φ = 831839404032.

The previous prime is 3463742475623. The next prime is 3463742475649. The reversal of 3463742475648 is 8465742473643.

3463742475648 is a `hidden beast` number, since 3 + 4 + 63 + 7 + 4 + 2 + 4 + 7 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3463742475649) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41731837015 + ... + 41731837097.

Almost surely, 2^{3463742475648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3463742475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839657042400).

3463742475648 is an abundant number, since it is smaller than the sum of its proper divisors (10215571609152).

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

3463742475648 is a wasteful number, since it uses less digits than its factorization.

3463742475648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 63.

The spelling of 3463742475648 in words is "three trillion, four hundred sixty-three billion, seven hundred forty-two million, four hundred seventy-five thousand, six hundred forty-eight".