3794438131200 has 600 divisors, whose sum is σ = 14154564264192. Its totient is φ = 1003848007680.

The previous prime is 3794438131199. The next prime is 3794438131217. The reversal of 3794438131200 is 21318344973.

3794438131200 is a `hidden beast` number, since 3 + 7 + 9 + 4 + 438 + 1 + 3 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 59 ways as a sum of consecutive naturals, for example, 131659192 + ... + 131688008.

Almost surely, 2^{3794438131200} is an apocalyptic number.

3794438131200 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 3794438131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077282132096).

3794438131200 is an abundant number, since it is smaller than the sum of its proper divisors (10360126132992).

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

3794438131200 is a wasteful number, since it uses less digits than its factorization.

3794438131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28984 (or 28954 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3794438131200 in words is "three trillion, seven hundred ninety-four billion, four hundred thirty-eight million, one hundred thirty-one thousand, two hundred".