3468488098752 has 224 divisors, whose sum is σ = 10572863385600. Its totient is φ = 1113698073600.

The previous prime is 3468488098729. The next prime is 3468488098841. The reversal of 3468488098752 is 2578908848643.

3468488098752 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 488 + 0 + 98 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21517977 + ... + 21678567.

Almost surely, 2^{3468488098752} is an apocalyptic number.

3468488098752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468488098752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286431692800).

3468488098752 is an abundant number, since it is smaller than the sum of its proper divisors (7104375286848).

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

3468488098752 is a wasteful number, since it uses less digits than its factorization.

3468488098752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161072 (or 161056 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 3468488098752 in words is "three trillion, four hundred sixty-eight billion, four hundred eighty-eight million, ninety-eight thousand, seven hundred fifty-two".