3850902144000 has 1056 divisors, whose sum is σ = 14633887057920. Its totient is φ = 971857920000.

The previous prime is 3850902143999. The next prime is 3850902144013. The reversal of 3850902144000 is 4412090583.

3850902144000 is a `hidden beast` number, since 3 + 8 + 509 + 0 + 2 + 144 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2676095281 + ... + 2676096719.

Almost surely, 2^{3850902144000} is an apocalyptic number.

3850902144000 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 3850902144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316943528960).

3850902144000 is an abundant number, since it is smaller than the sum of its proper divisors (10782984913920).

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

3850902144000 is a wasteful number, since it uses less digits than its factorization.

3850902144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3850902144000 in words is "three trillion, eight hundred fifty billion, nine hundred two million, one hundred forty-four thousand".