3794583975000 has 768 divisors, whose sum is σ = 14759955302400. Its totient is φ = 791493120000.

The previous prime is 3794583974999. The next prime is 3794583975001. The reversal of 3794583975000 is 5793854973.

It is an interprime number because it is at equal distance from previous prime (3794583974999) and next prime (3794583975001).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3794583975001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 607421877 + ... + 607428123.

It is an arithmetic number, because the mean of its divisors is an integer number (19218691800).

Almost surely, 2^{3794583975000} is an apocalyptic number.

3794583975000 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 3794583975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379977651200).

3794583975000 is an abundant number, since it is smaller than the sum of its proper divisors (10965371327400).

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

3794583975000 is a wasteful number, since it uses less digits than its factorization.

3794583975000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 3794583975000 in words is "three trillion, seven hundred ninety-four billion, five hundred eighty-three million, nine hundred seventy-five thousand".