3540438240 has 192 divisors, whose sum is σ = 11533487616. Its totient is φ = 912218112.

The previous prime is 3540438221. The next prime is 3540438259. The reversal of 3540438240 is 428340453.

3540438240 = T₃₂₅ + T₃₂₆ + ... + T₂₇₇₀.

It is an interprime number because it is at equal distance from previous prime (3540438221) and next prime (3540438259).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2894269 + ... + 2895491.

It is an arithmetic number, because the mean of its divisors is an integer number (60070248).

Almost surely, 2^3540438240 is an apocalyptic number.

3540438240 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 3540438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766743808).

3540438240 is an abundant number, since it is smaller than the sum of its proper divisors (7993049376).

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

3540438240 is a wasteful number, since it uses less digits than its factorization.

3540438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 3540438240 is about 59501.5818277128. The cubic root of 3540438240 is about 1524.1194579861.

Adding to 3540438240 its reverse (428340453), we get a palindrome (3968778693).

The spelling of 3540438240 in words is "three billion, five hundred forty million, four hundred thirty-eight thousand, two hundred forty".