3827466240000 has 760 divisors, whose sum is σ = 13758129739200. Its totient is φ = 940572672000.

The previous prime is 3827466239977. The next prime is 3827466240029. The reversal of 3827466240000 is 426647283.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6389759701 + ... + 6389760299.

Almost surely, 2^{3827466240000} is an apocalyptic number.

3827466240000 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 3827466240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879064869600).

3827466240000 is an abundant number, since it is smaller than the sum of its proper divisors (9930663499200).

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

3827466240000 is an frugal number, since it uses more digits than its factorization.

3827466240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 3827466240000 in words is "three trillion, eight hundred twenty-seven billion, four hundred sixty-six million, two hundred forty thousand".