8386052400 has 360 divisors, whose sum is σ = 33617763504. Its totient is φ = 1913241600.

The previous prime is 8386052399. The next prime is 8386052429. The reversal of 8386052400 is 42506838.

8386052400 is a `hidden beast` number, since 8 + 3 + 8 + 605 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 666972 + ... + 679428.

Almost surely, 2^8386052400 is an apocalyptic number.

8386052400 is a gapful number since it is divisible by the number (80) 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 8386052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808881752).

8386052400 is an abundant number, since it is smaller than the sum of its proper divisors (25231711104).

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

8386052400 is a wasteful number, since it uses less digits than its factorization.

8386052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509 (or 12495 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8386052400 is about 91575.3918910534. The cubic root of 8386052400 is about 2031.6669879701. Note that the first 3 decimals are identical.

The spelling of 8386052400 in words is "eight billion, three hundred eighty-six million, fifty-two thousand, four hundred".