3793716326400 has 2496 divisors, whose sum is σ = 17172697543680. Its totient is φ = 717697843200.

The previous prime is 3793716326399. The next prime is 3793716326401. The reversal of 3793716326400 is 46236173973.

It is an interprime number because it is at equal distance from previous prime (3793716326399) and next prime (3793716326401).

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×3793716326400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793716326401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51968716764 + ... + 51968716836.

Almost surely, 2^{3793716326400} is an apocalyptic number.

3793716326400 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 3793716326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8586348771840).

3793716326400 is an abundant number, since it is smaller than the sum of its proper divisors (13378981217280).

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

3793716326400 is a wasteful number, since it uses less digits than its factorization.

3793716326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 51.

The spelling of 3793716326400 in words is "three trillion, seven hundred ninety-three billion, seven hundred sixteen million, three hundred twenty-six thousand, four hundred".