3788680262400 has 1296 divisors, whose sum is σ = 15991998946560. Its totient is φ = 878443315200.

The previous prime is 3788680262351. The next prime is 3788680262407. The reversal of 3788680262400 is 42620868873.

3788680262400 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 6 + 8 + 0 + 2 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (3788680262407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 393460786 + ... + 393470414.

It is an arithmetic number, because the mean of its divisors is an integer number (12339505360).

Almost surely, 2^{3788680262400} is an apocalyptic number.

3788680262400 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 3788680262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995999473280).

3788680262400 is an abundant number, since it is smaller than the sum of its proper divisors (12203318684160).

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

3788680262400 is a wasteful number, since it uses less digits than its factorization.

3788680262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 3788680262400 in words is "three trillion, seven hundred eighty-eight billion, six hundred eighty million, two hundred sixty-two thousand, four hundred".