3468989462400 has 3456 divisors, whose sum is σ = 16899893337600. Its totient is φ = 686477721600.

The previous prime is 3468989462387. The next prime is 3468989462473. The reversal of 3468989462400 is 42649898643.

3468989462400 is a `hidden beast` number, since 3 + 4 + 6 + 89 + 8 + 94 + 62 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 15148425486 + ... + 15148425714.

Almost surely, 2^{3468989462400} is an apocalyptic number.

3468989462400 is a gapful number since it is divisible by the number (30) 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 3468989462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449946668800).

3468989462400 is an abundant number, since it is smaller than the sum of its proper divisors (13430903875200).

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

3468989462400 is a wasteful number, since it uses less digits than its factorization.

3468989462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3468989462400 in words is "three trillion, four hundred sixty-eight billion, nine hundred eighty-nine million, four hundred sixty-two thousand, four hundred".