3538131840 has 320 divisors, whose sum is σ = 12756197520. Its totient is φ = 934502400.

The previous prime is 3538131781. The next prime is 3538131881. The reversal of 3538131840 is 481318353.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 3538131795 and 3538131804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6790780 + ... + 6791300.

Almost surely, 2^3538131840 is an apocalyptic number.

3538131840 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 3538131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378098760).

3538131840 is an abundant number, since it is smaller than the sum of its proper divisors (9218065680).

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

3538131840 is a wasteful number, since it uses less digits than its factorization.

3538131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3538131840 is about 59482.1976729172. The cubic root of 3538131840 is about 1523.7884262059.

The spelling of 3538131840 in words is "three billion, five hundred thirty-eight million, one hundred thirty-one thousand, eight hundred forty".