3538080000 has 1080 divisors, whose sum is σ = 16270141888. Its totient is φ = 746496000.

The previous prime is 3538079969. The next prime is 3538080019. The reversal of 3538080000 is 808353.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 272159994 + ... + 272160006.

Almost surely, 2^3538080000 is an apocalyptic number.

3538080000 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 3538080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135070944).

3538080000 is an abundant number, since it is smaller than the sum of its proper divisors (12732061888).

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

3538080000 is an frugal number, since it uses more digits than its factorization.

3538080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3538080000 is about 59481.7619106899. The cubic root of 3538080000 is about 1523.7809840885.

Adding to 3538080000 its reverse (808353), we get a palindrome (3538888353).

The spelling of 3538080000 in words is "three billion, five hundred thirty-eight million, eighty thousand".