3541121280 has 288 divisors, whose sum is σ = 12734937600. Its totient is φ = 931627008.

The previous prime is 3541121261. The next prime is 3541121281. The reversal of 3541121280 is 821211453.

3541121280 is a `hidden beast` number, since 35 + 411 + 212 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3541121280³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3541121281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2729592 + ... + 2730888.

Almost surely, 2^3541121280 is an apocalyptic number.

3541121280 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 3541121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367468800).

3541121280 is an abundant number, since it is smaller than the sum of its proper divisors (9193816320).

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

3541121280 is a wasteful number, since it uses less digits than its factorization.

3541121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3541121280 is about 59507.3212302486. The cubic root of 3541121280 is about 1524.2174654025.

The spelling of 3541121280 in words is "three billion, five hundred forty-one million, one hundred twenty-one thousand, two hundred eighty".