3628543104 has 192 divisors, whose sum is σ = 11438739000. Its totient is φ = 1098940416.

The previous prime is 3628543103. The next prime is 3628543109. The reversal of 3628543104 is 4013458263.

3628543104 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 543 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2475261504 + 1153281600 = 49752^2 + 33960^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (3628543103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564742 + ... + 571130.

Almost surely, 2^3628543104 is an apocalyptic number.

3628543104 is a gapful number since it is divisible by the number (34) 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 3628543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719369500).

3628543104 is an abundant number, since it is smaller than the sum of its proper divisors (7810195896).

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

3628543104 is a wasteful number, since it uses less digits than its factorization.

3628543104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6440 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3628543104 is about 60237.3895848749. The cubic root of 3628543104 is about 1536.6587343795.

The spelling of 3628543104 in words is "three billion, six hundred twenty-eight million, five hundred forty-three thousand, one hundred four".