3061640826400 has 288 divisors, whose sum is σ = 8816551485840. Its totient is φ = 1027265003520.

The previous prime is 3061640826337. The next prime is 3061640826427. The reversal of 3061640826400 is 46280461603.

It can be written as a sum of positive squares in 24 ways, for example, as 41650279056 + 3019990547344 = 204084^2 + 1737812^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 4828632 + ... + 5425768.

Almost surely, 2^{3061640826400} 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 3061640826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408275742920).

3061640826400 is an abundant number, since it is smaller than the sum of its proper divisors (5754910659440).

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

3061640826400 is a wasteful number, since it uses less digits than its factorization.

3061640826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597216 (or 597203 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 3061640826400 in words is "three trillion, sixty-one billion, six hundred forty million, eight hundred twenty-six thousand, four hundred".