3763775426400 has 432 divisors, whose sum is σ = 14508197540928. Its totient is φ = 910562688000.

The previous prime is 3763775426377. The next prime is 3763775426407. The reversal of 3763775426400 is 46245773673.

3763775426400 is a `hidden beast` number, since 3 + 7 + 6 + 37 + 7 + 542 + 64 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3763775426407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38838807 + ... + 38935593.

It is an arithmetic number, because the mean of its divisors is an integer number (33583790604).

Almost surely, 2^{3763775426400} is an apocalyptic number.

3763775426400 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 3763775426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254098770464).

3763775426400 is an abundant number, since it is smaller than the sum of its proper divisors (10744422114528).

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

3763775426400 is a wasteful number, since it uses less digits than its factorization.

3763775426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97315 (or 97299 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 54.

The spelling of 3763775426400 in words is "three trillion, seven hundred sixty-three billion, seven hundred seventy-five million, four hundred twenty-six thousand, four hundred".