3541655040 has 640 divisors, whose sum is σ = 14509642752. Its totient is φ = 715653120.

The previous prime is 3541655027. The next prime is 3541655057. The reversal of 3541655040 is 405561453.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3541654992 and 3541655010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31342024 + ... + 31342136.

Almost surely, 2^3541655040 is an apocalyptic number.

3541655040 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 3541655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254821376).

3541655040 is an abundant number, since it is smaller than the sum of its proper divisors (10967987712).

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

3541655040 is a wasteful number, since it uses less digits than its factorization.

3541655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 3541655040 is about 59511.8058875716. The cubic root of 3541655040 is about 1524.2940442954.

The spelling of 3541655040 in words is "three billion, five hundred forty-one million, six hundred fifty-five thousand, forty".