3864346214400 has 2160 divisors, whose sum is σ = 17524542357504. Its totient is φ = 793100943360.

The previous prime is 3864346214371. The next prime is 3864346214411. The reversal of 3864346214400 is 44126434683.

3864346214400 is a `hidden beast` number, since 3 + 8 + 6 + 43 + 462 + 144 + 0 + 0 = 666.

It is a super-2 number, since 2×3864346214400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10089676609 + ... + 10089676991.

Almost surely, 2^{3864346214400} is an apocalyptic number.

3864346214400 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 3864346214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762271178752).

3864346214400 is an abundant number, since it is smaller than the sum of its proper divisors (13660196143104).

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

3864346214400 is a wasteful number, since it uses less digits than its factorization.

3864346214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3864346214400 in words is "three trillion, eight hundred sixty-four billion, three hundred forty-six million, two hundred fourteen thousand, four hundred".