3865226458500 has 576 divisors, whose sum is σ = 14399127025920. Its totient is φ = 887695200000.

The previous prime is 3865226458469. The next prime is 3865226458529. The reversal of 3865226458500 is 58546225683.

3865226458500 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 22 + 64 + 58 + 500 = 666.

3865226458500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53572450 + ... + 53644550.

It is an arithmetic number, because the mean of its divisors is an integer number (24998484420).

Almost surely, 2^{3865226458500} is an apocalyptic number.

3865226458500 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 3865226458500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199563512960).

3865226458500 is an abundant number, since it is smaller than the sum of its proper divisors (10533900567420).

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

3865226458500 is a wasteful number, since it uses less digits than its factorization.

3865226458500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72178 (or 72141 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 3865226458500 in words is "three trillion, eight hundred sixty-five billion, two hundred twenty-six million, four hundred fifty-eight thousand, five hundred".