3541224960 has 640 divisors, whose sum is σ = 15509007360. Its totient is φ = 745832448.

The previous prime is 3541224943. The next prime is 3541224983. The reversal of 3541224960 is 694221453.

It is a happy number.

3541224960 is a `hidden beast` number, since 3 + 541 + 2 + 24 + 96 + 0 = 666.

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 (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, 6289639 + ... + 6290201.

It is an arithmetic number, because the mean of its divisors is an integer number (24232824).

Almost surely, 2^3541224960 is an apocalyptic number.

3541224960 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 3541224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754503680).

3541224960 is an abundant number, since it is smaller than the sum of its proper divisors (11967782400).

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

3541224960 is a wasteful number, since it uses less digits than its factorization.

3541224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3541224960 is about 59508.1923771845. The cubic root of 3541224960 is about 1524.2323410415.

The spelling of 3541224960 in words is "three billion, five hundred forty-one million, two hundred twenty-four thousand, nine hundred sixty".