3643146540 has 216 divisors, whose sum is σ = 12437098128. Its totient is φ = 855463680.

The previous prime is 3643146509. The next prime is 3643146599. The reversal of 3643146540 is 456413463.

3643146540 is a `hidden beast` number, since 3 + 643 + 1 + 4 + 6 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3643146495 and 3643146504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16336869 + ... + 16337091.

It is an arithmetic number, because the mean of its divisors is an integer number (57579158).

Almost surely, 2^3643146540 is an apocalyptic number.

3643146540 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 3643146540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218549064).

3643146540 is an abundant number, since it is smaller than the sum of its proper divisors (8793951588).

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

3643146540 is a wasteful number, since it uses less digits than its factorization.

3643146540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3643146540 is about 60358.4835793611. The cubic root of 3643146540 is about 1538.7174541183.

The spelling of 3643146540 in words is "three billion, six hundred forty-three million, one hundred forty-six thousand, five hundred forty".