3794413392000 has 4608 divisors, whose sum is σ = 19016189337600. Its totient is φ = 714147840000.

The previous prime is 3794413391999. The next prime is 3794413392089. The reversal of 3794413392000 is 2933144973.

3794413392000 is a `hidden beast` number, since 3 + 79 + 4 + 41 + 339 + 200 + 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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 45715823959 + ... + 45715824041.

It is an arithmetic number, because the mean of its divisors is an integer number (4126777200).

Almost surely, 2^{3794413392000} is an apocalyptic number.

3794413392000 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 3794413392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508094668800).

3794413392000 is an abundant number, since it is smaller than the sum of its proper divisors (15221775945600).

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

3794413392000 is a wasteful number, since it uses less digits than its factorization.

3794413392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3794413392000 in words is "three trillion, seven hundred ninety-four billion, four hundred thirteen million, three hundred ninety-two thousand".