3641287104 has 336 divisors, whose sum is σ = 12970467328. Its totient is φ = 951035904.

The previous prime is 3641287081. The next prime is 3641287109. The reversal of 3641287104 is 4017821463.

3641287104 is a `hidden beast` number, since 3 + 641 + 2 + 8 + 7 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641287109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6656559 + ... + 6657105.

Almost surely, 2^3641287104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3641287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485233664).

3641287104 is an abundant number, since it is smaller than the sum of its proper divisors (9329180224).

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

3641287104 is a wasteful number, since it uses less digits than its factorization.

3641287104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3641287104 is about 60343.0783437504. The cubic root of 3641287104 is about 1538.4556260983.

The spelling of 3641287104 in words is "three billion, six hundred forty-one million, two hundred eighty-seven thousand, one hundred four".