3872296040004 has 384 divisors, whose sum is σ = 12210229248000. Its totient is φ = 1059612503040.

The previous prime is 3872296039991. The next prime is 3872296040021. The reversal of 3872296040004 is 4000406922783.

3872296040004 is a `hidden beast` number, since 38 + 7 + 2 + 2 + 9 + 604 + 0 + 0 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111373927 + ... + 111408689.

It is an arithmetic number, because the mean of its divisors is an integer number (31797472000).

Almost surely, 2^{3872296040004} 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 3872296040004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105114624000).

3872296040004 is an abundant number, since it is smaller than the sum of its proper divisors (8337933207996).

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

3872296040004 is a wasteful number, since it uses less digits than its factorization.

3872296040004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34925 (or 34903 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3872296040004 in words is "three trillion, eight hundred seventy-two billion, two hundred ninety-six million, forty thousand, four".