3540637440 has 288 divisors, whose sum is σ = 12808031040. Its totient is φ = 925876224.

The previous prime is 3540637439. The next prime is 3540637483. The reversal of 3540637440 is 447360453.

It is a happy number.

3540637440 is a `hidden beast` number, since 3 + 540 + 6 + 3 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3540637440² = 25072226963059507200, which contains 22 as substring.

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 = 3540637395 and 3540637404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1830714 + ... + 1832646.

It is an arithmetic number, because the mean of its divisors is an integer number (44472330).

Almost surely, 2^3540637440 is an apocalyptic number.

3540637440 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 3540637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404015520).

3540637440 is an abundant number, since it is smaller than the sum of its proper divisors (9267393600).

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

3540637440 is a wasteful number, since it uses less digits than its factorization.

3540637440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3540637440 is about 59503.2557092467. The cubic root of 3540637440 is about 1524.1480419148.

Adding to 3540637440 its reverse (447360453), we get a palindrome (3987997893).

The spelling of 3540637440 in words is "three billion, five hundred forty million, six hundred thirty-seven thousand, four hundred forty".