3426768000 has 384 divisors, whose sum is σ = 12566502000. Its totient is φ = 894566400.

The previous prime is 3426767941. The next prime is 3426768017. The reversal of 3426768000 is 8676243.

It can be written as a sum of positive squares in 8 ways, for example, as 403527744 + 3023240256 = 20088^2 + 54984^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7631776 + ... + 7632224.

Almost surely, 2^3426768000 is an apocalyptic number.

3426768000 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 3426768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283251000).

3426768000 is an abundant number, since it is smaller than the sum of its proper divisors (9139734000).

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

3426768000 is a wasteful number, since it uses less digits than its factorization.

3426768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3426768000 is about 58538.6026481671. The cubic root of 3426768000 is about 1507.6304516534.

The spelling of 3426768000 in words is "three billion, four hundred twenty-six million, seven hundred sixty-eight thousand".