9346424400 has 90 divisors (see below), whose sum is σ = 32434701390. Its totient is φ = 2492378880.

The previous prime is 9346424383. The next prime is 9346424431. The reversal of 9346424400 is 44246439.

9346424400 is a `hidden beast` number, since 9 + 3 + 4 + 642 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5588496 + 9340835904 = 2364^2 + 96648^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1294515 + ... + 1301714.

It is an arithmetic number, because the mean of its divisors is an integer number (360385571).

Almost surely, 2^9346424400 is an apocalyptic number.

9346424400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9346424400 is an abundant number, since it is smaller than the sum of its proper divisors (23088276990).

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

9346424400 is a wasteful number, since it uses less digits than its factorization.

9346424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596253 (or 2596239 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 9346424400 is about 96676.9072736608. The cubic root of 9346424400 is about 2106.4371189205.

The spelling of 9346424400 in words is "nine billion, three hundred forty-six million, four hundred twenty-four thousand, four hundred".