8946374400 has 432 divisors, whose sum is σ = 34246974720. Its totient is φ = 2280960000.

The previous prime is 8946374399. The next prime is 8946374441. The reversal of 8946374400 is 44736498.

8946374400 is a `hidden beast` number, since 8 + 9 + 4 + 637 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8946374400² (a number of 21 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3973275 + ... + 3975525.

Almost surely, 2^8946374400 is an apocalyptic number.

8946374400 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 8946374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123487360).

8946374400 is an abundant number, since it is smaller than the sum of its proper divisors (25300600320).

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

8946374400 is a wasteful number, since it uses less digits than its factorization.

8946374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8946374400 is about 94585.2758097158. The cubic root of 8946374400 is about 2075.9442666049.

The spelling of 8946374400 in words is "eight billion, nine hundred forty-six million, three hundred seventy-four thousand, four hundred".