3464265652848 has 960 divisors, whose sum is σ = 13609816915968. Its totient is φ = 792925562880.

The previous prime is 3464265652831. The next prime is 3464265652867. The reversal of 3464265652848 is 8482565624643.

3464265652848 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 2 + 6 + 565 + 28 + 48 = 666.

It is a super-2 number, since 2×3464265652848² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3258951165 + ... + 3258952227.

Almost surely, 2^{3464265652848} 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 3464265652848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804908457984).

3464265652848 is an abundant number, since it is smaller than the sum of its proper divisors (10145551263120).

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

3464265652848 is a wasteful number, since it uses less digits than its factorization.

3464265652848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2105 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 63.

The spelling of 3464265652848 in words is "three trillion, four hundred sixty-four billion, two hundred sixty-five million, six hundred fifty-two thousand, eight hundred forty-eight".