3821400237672 has 192 divisors, whose sum is σ = 10775969568000. Its totient is φ = 1268702797824.

The previous prime is 3821400237659. The next prime is 3821400237673. The reversal of 3821400237672 is 2767320041283.

3821400237672 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 400 + 237 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3821400237673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692405329 + ... + 692410847.

It is an arithmetic number, because the mean of its divisors is an integer number (56124841500).

Almost surely, 2^{3821400237672} 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 3821400237672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387984784000).

3821400237672 is an abundant number, since it is smaller than the sum of its proper divisors (6954569330328).

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

3821400237672 is a wasteful number, since it uses less digits than its factorization.

3821400237672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 3821400237672 in words is "three trillion, eight hundred twenty-one billion, four hundred million, two hundred thirty-seven thousand, six hundred seventy-two".