3453140686464 has 384 divisors, whose sum is σ = 11963481753600. Its totient is φ = 933944297472.

The previous prime is 3453140686459. The next prime is 3453140686469. The reversal of 3453140686464 is 4646860413543.

It is a happy number.

3453140686464 is a `hidden beast` number, since 3 + 4 + 531 + 4 + 0 + 68 + 6 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3453140686459) and next prime (3453140686469).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3453140686464.

It is not an unprimeable number, because it can be changed into a prime (3453140686469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209438029 + ... + 209454515.

It is an arithmetic number, because the mean of its divisors is an integer number (31154900400).

Almost surely, 2^{3453140686464} 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 3453140686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981740876800).

3453140686464 is an abundant number, since it is smaller than the sum of its proper divisors (8510341067136).

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

3453140686464 is a wasteful number, since it uses less digits than its factorization.

3453140686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17900 (or 17885 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 3453140686464 in words is "three trillion, four hundred fifty-three billion, one hundred forty million, six hundred eighty-six thousand, four hundred sixty-four".