3794673863520 has 576 divisors, whose sum is σ = 13569319895040. Its totient is φ = 964447948800.

The previous prime is 3794673863507. The next prime is 3794673863527. The reversal of 3794673863520 is 253683764973.

3794673863520 is a `hidden beast` number, since 3 + 7 + 9 + 46 + 7 + 3 + 8 + 63 + 520 = 666.

It is a super-3 number, since 3×3794673863520³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3794673863527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1119041025 + ... + 1119044415.

It is an arithmetic number, because the mean of its divisors is an integer number (23557847040).

Almost surely, 2^{3794673863520} is an apocalyptic number.

3794673863520 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 3794673863520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784659947520).

3794673863520 is an abundant number, since it is smaller than the sum of its proper divisors (9774646031520).

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

3794673863520 is a wasteful number, since it uses less digits than its factorization.

3794673863520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 3794673863520 in words is "three trillion, seven hundred ninety-four billion, six hundred seventy-three million, eight hundred sixty-three thousand, five hundred twenty".