3883153912400 has 360 divisors, whose sum is σ = 11162133702720. Its totient is φ = 1271610869760.

The previous prime is 3883153912387. The next prime is 3883153912453. The reversal of 3883153912400 is 42193513883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1307898116 + ... + 1307901084.

It is an arithmetic number, because the mean of its divisors is an integer number (31005926952).

Almost surely, 2^{3883153912400} 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 3883153912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581066851360).

3883153912400 is an abundant number, since it is smaller than the sum of its proper divisors (7278979790320).

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

3883153912400 is a wasteful number, since it uses less digits than its factorization.

3883153912400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 3883153912400 in words is "three trillion, eight hundred eighty-three billion, one hundred fifty-three million, nine hundred twelve thousand, four hundred".