3089534400 has 420 divisors, whose sum is σ = 11737929280. Its totient is φ = 796262400.

The previous prime is 3089534347. The next prime is 3089534407. The reversal of 3089534400 is 44359803.

3089534400 is a `hidden beast` number, since 3 + 0 + 89 + 534 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3089534407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4017216 + ... + 4017984.

Almost surely, 2^3089534400 is an apocalyptic number.

3089534400 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 3089534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868964640).

3089534400 is an abundant number, since it is smaller than the sum of its proper divisors (8648394880).

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

3089534400 is a wasteful number, since it uses less digits than its factorization.

3089534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3089534400 is about 55583.5803092964. The cubic root of 3089534400 is about 1456.4570376184.

The spelling of 3089534400 in words is "three billion, eighty-nine million, five hundred thirty-four thousand, four hundred".