3909628490400 has 720 divisors, whose sum is σ = 14617187877600. Its totient is φ = 1016371722240.

The previous prime is 3909628490333. The next prime is 3909628490413. The reversal of 3909628490400 is 40948269093.

3909628490400 is a `hidden beast` number, since 3 + 9 + 0 + 9 + 628 + 4 + 9 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1975556611 + ... + 1975558589.

It is an arithmetic number, because the mean of its divisors is an integer number (20301649830).

Almost surely, 2^{3909628490400} is an apocalyptic number.

3909628490400 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 3909628490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308593938800).

3909628490400 is an abundant number, since it is smaller than the sum of its proper divisors (10707559387200).

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

3909628490400 is a wasteful number, since it uses less digits than its factorization.

3909628490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3909628490400 in words is "three trillion, nine hundred nine billion, six hundred twenty-eight million, four hundred ninety thousand, four hundred".