3815838720000 has 840 divisors, whose sum is σ = 14288979200496. Its totient is φ = 1017225216000.

The previous prime is 3815838719977. The next prime is 3815838720041. The reversal of 3815838720000 is 278385183.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1244158467 + ... + 1244161533.

Almost surely, 2^{3815838720000} is an apocalyptic number.

3815838720000 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 3815838720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144489600248).

3815838720000 is an abundant number, since it is smaller than the sum of its proper divisors (10473140480496).

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

3815838720000 is an frugal number, since it uses more digits than its factorization.

3815838720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 3815838720000 in words is "three trillion, eight hundred fifteen billion, eight hundred thirty-eight million, seven hundred twenty thousand".