3541965408 has 480 divisors, whose sum is σ = 11855289600. Its totient is φ = 1031906304.

The previous prime is 3541965403. The next prime is 3541965437. The reversal of 3541965408 is 8045691453.

3541965408 is a `hidden beast` number, since 3 + 54 + 196 + 5 + 408 = 666.

It is a super-3 number, since 3×3541965408³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3541965403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60033283 + ... + 60033341.

It is an arithmetic number, because the mean of its divisors is an integer number (24698520).

Almost surely, 2^3541965408 is an apocalyptic number.

3541965408 is a gapful number since it is divisible by the number (38) 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 3541965408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927644800).

3541965408 is an abundant number, since it is smaller than the sum of its proper divisors (8313324192).

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

3541965408 is a wasteful number, since it uses less digits than its factorization.

3541965408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3541965408 is about 59514.4134475003. The cubic root of 3541965408 is about 1524.3385694557.

The spelling of 3541965408 in words is "three billion, five hundred forty-one million, nine hundred sixty-five thousand, four hundred eight".