3538612440 has 512 divisors, whose sum is σ = 13820544000. Its totient is φ = 796262400.

The previous prime is 3538612433. The next prime is 3538612453. The reversal of 3538612440 is 442168353.

3538612440 is a `hidden beast` number, since 3 + 5 + 38 + 612 + 4 + 4 + 0 = 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 = 3538612395 and 3538612404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13768792 + ... + 13769048.

It is an arithmetic number, because the mean of its divisors is an integer number (26993250).

Almost surely, 2^3538612440 is an apocalyptic number.

3538612440 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 3538612440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910272000).

3538612440 is an abundant number, since it is smaller than the sum of its proper divisors (10281931560).

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

3538612440 is a wasteful number, since it uses less digits than its factorization.

3538612440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3538612440 is about 59486.2373999230. The cubic root of 3538612440 is about 1523.8574173755.

The spelling of 3538612440 in words is "three billion, five hundred thirty-eight million, six hundred twelve thousand, four hundred forty".