3620010240 has 972 divisors, whose sum is σ = 16316828892. Its totient is φ = 738017280.

The previous prime is 3620010239. The next prime is 3620010241. The reversal of 3620010240 is 420100263.

It is a happy number.

3620010240 is a `hidden beast` number, since 3 + 620 + 0 + 1 + 0 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3620010239) and next prime (3620010241).

It can be written as a sum of positive squares in 2 ways, for example, as 1967099904 + 1652910336 = 44352^2 + 40656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3620010241) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68302054 + ... + 68302106.

It is an arithmetic number, because the mean of its divisors is an integer number (16786861).

Almost surely, 2^3620010240 is an apocalyptic number.

3620010240 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 3620010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158414446).

3620010240 is an abundant number, since it is smaller than the sum of its proper divisors (12696818652).

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

3620010240 is a wasteful number, since it uses less digits than its factorization.

3620010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3620010240 is about 60166.5209231845. The cubic root of 3620010240 is about 1535.4532559286.

The spelling of 3620010240 in words is "three billion, six hundred twenty million, ten thousand, two hundred forty".