3810157218000 has 400 divisors, whose sum is σ = 15728656230144. Its totient is φ = 870892819200.

The previous prime is 3810157217983. The next prime is 3810157218001. The reversal of 3810157218000 is 8127510183.

3810157218000 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 1 + 572 + 1 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3810157218001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 545964 + ... + 2813963.

Almost surely, 2^{3810157218000} is an apocalyptic number.

3810157218000 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 3810157218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864328115072).

3810157218000 is an abundant number, since it is smaller than the sum of its proper divisors (11918499012144).

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

3810157218000 is a wasteful number, since it uses less digits than its factorization.

3810157218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359969 (or 3359944 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 3810157218000 in words is "three trillion, eight hundred ten billion, one hundred fifty-seven million, two hundred eighteen thousand".