3518742240 has 432 divisors, whose sum is σ = 13704752880. Its totient is φ = 819486720.

The previous prime is 3518742223. The next prime is 3518742257. The reversal of 3518742240 is 422478153.

It is a happy number.

3518742240 is a `hidden beast` number, since 351 + 87 + 4 + 224 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3518742223) and next prime (3518742257).

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 = 3518742195 and 3518742204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4623460 + ... + 4624220.

It is an arithmetic number, because the mean of its divisors is an integer number (31723965).

Almost surely, 2^3518742240 is an apocalyptic number.

3518742240 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 3518742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852376440).

3518742240 is an abundant number, since it is smaller than the sum of its proper divisors (10186010640).

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

3518742240 is a wasteful number, since it uses less digits than its factorization.

3518742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3518742240 is about 59318.9871794858. The cubic root of 3518742240 is about 1520.9997808459. Note that the first 3 decimals are identical.

The spelling of 3518742240 in words is "three billion, five hundred eighteen million, seven hundred forty-two thousand, two hundred forty".