3124565640 has 768 divisors, whose sum is σ = 13111787520. Its totient is φ = 629544960.

The previous prime is 3124565623. The next prime is 3124565641. The reversal of 3124565640 is 465654213.

3124565640 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 5 + 6 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3124565595 and 3124565604.

It is not an unprimeable number, because it can be changed into a prime (3124565641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66480097 + ... + 66480143.

It is an arithmetic number, because the mean of its divisors is an integer number (17072640).

Almost surely, 2^3124565640 is an apocalyptic number.

3124565640 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 3124565640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555893760).

3124565640 is an abundant number, since it is smaller than the sum of its proper divisors (9987221880).

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

3124565640 is a wasteful number, since it uses less digits than its factorization.

3124565640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3124565640 is about 55897.8142685383. The cubic root of 3124565640 is about 1461.9411285627.

It can be divided in two parts, 312456 and 5640, that added together give a square (318096 = 564²).

The spelling of 3124565640 in words is "three billion, one hundred twenty-four million, five hundred sixty-five thousand, six hundred forty".