9374826240 has 432 divisors, whose sum is σ = 35556524640. Its totient is φ = 2266398720.

The previous prime is 9374826217. The next prime is 9374826269. The reversal of 9374826240 is 426284739.

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, 8835310 + ... + 8836370.

It is an arithmetic number, because the mean of its divisors is an integer number (82306770).

Almost surely, 2^9374826240 is an apocalyptic number.

9374826240 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 9374826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778262320).

9374826240 is an abundant number, since it is smaller than the sum of its proper divisors (26181698400).

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

9374826240 is a wasteful number, since it uses less digits than its factorization.

9374826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1143 counting only the distinct ones).

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

The square root of 9374826240 is about 96823.6863582460. The cubic root of 9374826240 is about 2108.5686360752.

The spelling of 9374826240 in words is "nine billion, three hundred seventy-four million, eight hundred twenty-six thousand, two hundred forty".