3096825648400 has 405 divisors, whose sum is σ = 8651611228239. Its totient is φ = 1064314944000.

The previous prime is 3096825648347. The next prime is 3096825648401. The reversal of 3096825648400 is 48465286903.

The square root of 3096825648400 is 1759780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1773552735504 + 1323272912896 = 1331748^2 + 1150336^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (3096825648401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7355880190 + ... + 7355880610.

Almost surely, 2^{3096825648400} is an apocalyptic number.

3096825648400 is the 1759780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3096825648400

3096825648400 is an abundant number, since it is smaller than the sum of its proper divisors (5554785579839).

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

3096825648400 is a wasteful number, since it uses less digits than its factorization.

3096825648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 3096825648400 in words is "three trillion, ninety-six billion, eight hundred twenty-five million, six hundred forty-eight thousand, four hundred".