3132224640 has 640 divisors, whose sum is σ = 12156376320. Its totient is φ = 766402560.

The previous prime is 3132224633. The next prime is 3132224657. The reversal of 3132224640 is 464222313.

3132224640 is a `hidden beast` number, since 3 + 13 + 2 + 2 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44115805 + ... + 44115875.

It is an arithmetic number, because the mean of its divisors is an integer number (18994338).

Almost surely, 2^3132224640 is an apocalyptic number.

3132224640 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 3132224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078188160).

3132224640 is an abundant number, since it is smaller than the sum of its proper divisors (9024151680).

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

3132224640 is a wasteful number, since it uses less digits than its factorization.

3132224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3132224640 is about 55966.2812772119. The cubic root of 3132224640 is about 1463.1346673403.

Adding to 3132224640 its reverse (464222313), we get a palindrome (3596446953).

The spelling of 3132224640 in words is "three billion, one hundred thirty-two million, two hundred twenty-four thousand, six hundred forty".