3798314415000 has 1920 divisors, whose sum is σ = 16554880742400. Its totient is φ = 766402560000.

The previous prime is 3798314414911. The next prime is 3798314415079. The reversal of 3798314415000 is 5144138973.

3798314415000 is a `hidden beast` number, since 3 + 7 + 98 + 3 + 14 + 41 + 500 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5643854664 + ... + 5643855336.

It is an arithmetic number, because the mean of its divisors is an integer number (8622333720).

Almost surely, 2^{3798314415000} is an apocalyptic number.

3798314415000 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 3798314415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277440371200).

3798314415000 is an abundant number, since it is smaller than the sum of its proper divisors (12756566327400).

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

3798314415000 is a wasteful number, since it uses less digits than its factorization.

3798314415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3798314415000 in words is "three trillion, seven hundred ninety-eight billion, three hundred fourteen million, four hundred fifteen thousand".