3850678540800 has 4320 divisors, whose sum is σ = 19051814605824. Its totient is φ = 721944576000.

The previous prime is 3850678540789. The next prime is 3850678540843. The reversal of 3850678540800 is 80458760583.

3850678540800 is a `hidden beast` number, since 3 + 8 + 506 + 7 + 8 + 54 + 0 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 93918988780 + ... + 93918988820.

Almost surely, 2^{3850678540800} is an apocalyptic number.

3850678540800 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 3850678540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525907302912).

3850678540800 is an abundant number, since it is smaller than the sum of its proper divisors (15201136065024).

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

3850678540800 is a wasteful number, since it uses less digits than its factorization.

3850678540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 3850678540800 in words is "three trillion, eight hundred fifty billion, six hundred seventy-eight million, five hundred forty thousand, eight hundred".