3646126500 has 192 divisors, whose sum is σ = 11133158400. Its totient is φ = 926016000.

The previous prime is 3646126499. The next prime is 3646126507. The reversal of 3646126500 is 56216463.

It is not an unprimeable number, because it can be changed into a prime (3646126507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3435970 + ... + 3437030.

It is an arithmetic number, because the mean of its divisors is an integer number (57985200).

Almost surely, 2^3646126500 is an apocalyptic number.

3646126500 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 3646126500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566579200).

3646126500 is an abundant number, since it is smaller than the sum of its proper divisors (7487031900).

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

3646126500 is a wasteful number, since it uses less digits than its factorization.

3646126500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3646126500 is about 60383.1640442930. The cubic root of 3646126500 is about 1539.1368778935.

The spelling of 3646126500 in words is "three billion, six hundred forty-six million, one hundred twenty-six thousand, five hundred".