3068474400000 has 540 divisors, whose sum is σ = 11436553849644. Its totient is φ = 818242560000.

The previous prime is 3068474399993. The next prime is 3068474400031. The reversal of 3068474400000 is 44748603.

It can be written as a sum of positive squares in 6 ways, for example, as 2979020768256 + 89453631744 = 1725984^2 + 299088^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64776324 + ... + 64823676.

Almost surely, 2^{3068474400000} is an apocalyptic number.

3068474400000 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 3068474400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718276924822).

3068474400000 is an abundant number, since it is smaller than the sum of its proper divisors (8368079449644).

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

3068474400000 is an frugal number, since it uses more digits than its factorization.

3068474400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47406 (or 47363 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 3068474400000 in words is "three trillion, sixty-eight billion, four hundred seventy-four million, four hundred thousand".