3862942836480 has 1296 divisors, whose sum is σ = 16668864313920. Its totient is φ = 808698249216.

The previous prime is 3862942836479. The next prime is 3862942836509. The reversal of 3862942836480 is 846382492683.

3862942836480 is a `hidden beast` number, since 3 + 8 + 6 + 294 + 283 + 64 + 8 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 1867056886 + ... + 1867058954.

It is an arithmetic number, because the mean of its divisors is an integer number (12861778020).

Almost surely, 2^{3862942836480} is an apocalyptic number.

3862942836480 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 3862942836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334432156960).

3862942836480 is an abundant number, since it is smaller than the sum of its proper divisors (12805921477440).

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

3862942836480 is a wasteful number, since it uses less digits than its factorization.

3862942836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 3862942836480 in words is "three trillion, eight hundred sixty-two billion, nine hundred forty-two million, eight hundred thirty-six thousand, four hundred eighty".