3794356224000 has 1200 divisors, whose sum is σ = 14361799692240. Its totient is φ = 996566630400.

The previous prime is 3794356223969. The next prime is 3794356224041. The reversal of 3794356224000 is 4226534973.

3794356224000 is a `hidden beast` number, since 3 + 7 + 9 + 43 + 562 + 2 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 691798081536 + 3102558142464 = 831744^2 + 1761408^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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 79 ways as a sum of consecutive naturals, for example, 14764031872 + ... + 14764032128.

Almost surely, 2^{3794356224000} is an apocalyptic number.

3794356224000 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 3794356224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180899846120).

3794356224000 is an abundant number, since it is smaller than the sum of its proper divisors (10567443468240).

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

3794356224000 is an frugal number, since it uses more digits than its factorization.

3794356224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3794356224000 in words is "three trillion, seven hundred ninety-four billion, three hundred fifty-six million, two hundred twenty-four thousand".