3920899910400 has 1728 divisors, whose sum is σ = 16850971468800. Its totient is φ = 881491968000.

The previous prime is 3920899910341. The next prime is 3920899910419. The reversal of 3920899910400 is 40199980293.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×3920899910400³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2294264746 + ... + 2294266454.

It is an arithmetic number, because the mean of its divisors is an integer number (9751719600).

Almost surely, 2^{3920899910400} is an apocalyptic number.

3920899910400 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 3920899910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425485734400).

3920899910400 is an abundant number, since it is smaller than the sum of its proper divisors (12930071558400).

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

3920899910400 is a wasteful number, since it uses less digits than its factorization.

3920899910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 3920899910400 in words is "three trillion, nine hundred twenty billion, eight hundred ninety-nine million, nine hundred ten thousand, four hundred".