3465938381472 has 144 divisors (see below), whose sum is σ = 11266009634880. Its totient is φ = 990117789696.

The previous prime is 3465938381467. The next prime is 3465938381473. The reversal of 3465938381472 is 2741838395643.

It is a happy number.

3465938381472 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 9 + 3 + 83 + 81 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3465938381473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13507104 + ... + 13761312.

It is an arithmetic number, because the mean of its divisors is an integer number (78236178020).

Almost surely, 2^{3465938381472} is an apocalyptic number.

3465938381472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3465938381472 is an abundant number, since it is smaller than the sum of its proper divisors (7800071253408).

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

3465938381472 is a wasteful number, since it uses less digits than its factorization.

3465938381472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260995 (or 260984 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 3465938381472 in words is "three trillion, four hundred sixty-five billion, nine hundred thirty-eight million, three hundred eighty-one thousand, four hundred seventy-two".