9436039920 has 480 divisors, whose sum is σ = 35260243200. Its totient is φ = 2338025472.

The previous prime is 9436039891. The next prime is 9436039957. The reversal of 9436039920 is 299306349.

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 95 ways as a sum of consecutive naturals, for example, 21792024 + ... + 21792456.

It is an arithmetic number, because the mean of its divisors is an integer number (73458840).

Almost surely, 2^9436039920 is an apocalyptic number.

9436039920 is a gapful number since it is divisible by the number (90) 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 9436039920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17630121600).

9436039920 is an abundant number, since it is smaller than the sum of its proper divisors (25824203280).

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

9436039920 is a wasteful number, since it uses less digits than its factorization.

9436039920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 9436039920 is about 97139.2810350169. The cubic root of 9436039920 is about 2113.1480393180.

The spelling of 9436039920 in words is "nine billion, four hundred thirty-six million, thirty-nine thousand, nine hundred twenty".