3153538080 has 864 divisors, whose sum is σ = 14520280320. Its totient is φ = 614154240.

The previous prime is 3153538067. The next prime is 3153538109. The reversal of 3153538080 is 808353513.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 13194601 + ... + 13194839.

It is an arithmetic number, because the mean of its divisors is an integer number (16805880).

Almost surely, 2^3153538080 is an apocalyptic number.

3153538080 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 3153538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260140160).

3153538080 is an abundant number, since it is smaller than the sum of its proper divisors (11366742240).

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

3153538080 is a wasteful number, since it uses less digits than its factorization.

3153538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3153538080 is about 56156.3716776645. The cubic root of 3153538080 is about 1466.4458354387.

The spelling of 3153538080 in words is "three billion, one hundred fifty-three million, five hundred thirty-eight thousand, eighty".