3882762605400 has 384 divisors, whose sum is σ = 14753302156800. Its totient is φ = 824914022400.

The previous prime is 3882762605291. The next prime is 3882762605467. The reversal of 3882762605400 is 45062672883.

It is a super-2 number, since 2×3882762605400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3770380 + ... + 4688420.

It is an arithmetic number, because the mean of its divisors is an integer number (38420057700).

Almost surely, 2^{3882762605400} is an apocalyptic number.

3882762605400 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 3882762605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376651078400).

3882762605400 is an abundant number, since it is smaller than the sum of its proper divisors (10870539551400).

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

3882762605400 is a wasteful number, since it uses less digits than its factorization.

3882762605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918139 (or 918130 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 3882762605400 in words is "three trillion, eight hundred eighty-two billion, seven hundred sixty-two million, six hundred five thousand, four hundred".