3868073052480 has 672 divisors, whose sum is σ = 16903098820608. Its totient is φ = 789792768000.

The previous prime is 3868073052479. The next prime is 3868073052509. The reversal of 3868073052480 is 842503708683.

3868073052480 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 0 + 7 + 30 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×3868073052480⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7886430 + ... + 8362530.

It is an arithmetic number, because the mean of its divisors is an integer number (25153420864).

Almost surely, 2^{3868073052480} is an apocalyptic number.

3868073052480 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 3868073052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451549410304).

3868073052480 is an abundant number, since it is smaller than the sum of its proper divisors (13035025768128).

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

3868073052480 is a wasteful number, since it uses less digits than its factorization.

3868073052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476175 (or 476162 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3868073052480 in words is "three trillion, eight hundred sixty-eight billion, seventy-three million, fifty-two thousand, four hundred eighty".