3794172782400 has 3024 divisors, whose sum is σ = 19039764377088. Its totient is φ = 703696896000.

The previous prime is 3794172782363. The next prime is 3794172782447. The reversal of 3794172782400 is 42872714973.

3794172782400 is a `hidden beast` number, since 3 + 7 + 94 + 1 + 72 + 7 + 82 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3127924194 + ... + 3127925406.

Almost surely, 2^{3794172782400} is an apocalyptic number.

3794172782400 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 3794172782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519882188544).

3794172782400 is an abundant number, since it is smaller than the sum of its proper divisors (15245591594688).

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

3794172782400 is a wasteful number, since it uses less digits than its factorization.

3794172782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 3794172782400 in words is "three trillion, seven hundred ninety-four billion, one hundred seventy-two million, seven hundred eighty-two thousand, four hundred".