3788905921164 has 768 divisors, whose sum is σ = 13513651200000. Its totient is φ = 908003561472.

The previous prime is 3788905921117. The next prime is 3788905921169. The reversal of 3788905921164 is 4611295098873.

3788905921164 is a `hidden beast` number, since 37 + 8 + 8 + 9 + 0 + 592 + 1 + 1 + 6 + 4 = 666.

It is a super-2 number, since 2×3788905921164² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3788905921169) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 237407017 + ... + 237422975.

It is an arithmetic number, because the mean of its divisors is an integer number (17595900000).

It is a 1-persistent number, because it is pandigital, but 2⋅3788905921164 = 7577811842328 is not.

Almost surely, 2^{3788905921164} is an apocalyptic number.

3788905921164 is a gapful number since it is divisible by the number (34) 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 3788905921164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756825600000).

3788905921164 is an abundant number, since it is smaller than the sum of its proper divisors (9724745278836).

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

3788905921164 is a wasteful number, since it uses less digits than its factorization.

3788905921164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16052 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 3788905921164 in words is "three trillion, seven hundred eighty-eight billion, nine hundred five million, nine hundred twenty-one thousand, one hundred sixty-four".