3541505760 has 384 divisors, whose sum is σ = 14055552000. Its totient is φ = 825624576.

The previous prime is 3541505729. The next prime is 3541505771. The reversal of 3541505760 is 675051453.

3541505760 is a `hidden beast` number, since 3 + 541 + 5 + 0 + 57 + 60 = 666.

It is a super-2 number, since 2×3541505760² = 25084526096226355200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1065381 + ... + 1068699.

It is an arithmetic number, because the mean of its divisors is an integer number (36603000).

Almost surely, 2^3541505760 is an apocalyptic number.

3541505760 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 3541505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027776000).

3541505760 is an abundant number, since it is smaller than the sum of its proper divisors (10514046240).

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

3541505760 is a wasteful number, since it uses less digits than its factorization.

3541505760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 3541505760 is about 59510.5516694309. The cubic root of 3541505760 is about 1524.2726277722.

The spelling of 3541505760 in words is "three billion, five hundred forty-one million, five hundred five thousand, seven hundred sixty".