3791587600000 has 384 divisors, whose sum is σ = 9807628521600. Its totient is φ = 1458240000000.

The previous prime is 3791587599997. The next prime is 3791587600007. The reversal of 3791587600000 is 67851973.

It is a super-2 number, since 2×3791587600000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3791587600007) 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, 3607599475 + ... + 3607600525.

It is an arithmetic number, because the mean of its divisors is an integer number (25540699275).

Almost surely, 2^{3791587600000} 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 3791587600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903814260800).

3791587600000 is an abundant number, since it is smaller than the sum of its proper divisors (6016040921600).

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

3791587600000 is an equidigital number, since it uses as much as digits as its factorization.

3791587600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 3791587600000 in words is "three trillion, seven hundred ninety-one billion, five hundred eighty-seven million, six hundred thousand".