3874336693200 has 420 divisors, whose sum is σ = 14252738117568. Its totient is φ = 1011170822400.

The previous prime is 3874336693163. The next prime is 3874336693223. The reversal of 3874336693200 is 23966334783.

3874336693200 is a `hidden beast` number, since 3 + 8 + 74 + 3 + 366 + 9 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 83 ways as a sum of consecutive naturals, for example, 13563855 + ... + 13846545.

Almost surely, 2^{3874336693200} is an apocalyptic number.

3874336693200 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 3874336693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126369058784).

3874336693200 is an abundant number, since it is smaller than the sum of its proper divisors (10378401424368).

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

3874336693200 is a wasteful number, since it uses less digits than its factorization.

3874336693200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282774 (or 282748 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 3874336693200 in words is "three trillion, eight hundred seventy-four billion, three hundred thirty-six million, six hundred ninety-three thousand, two hundred".