3646125000 has 336 divisors, whose sum is σ = 14137319040. Its totient is φ = 831600000.

The previous prime is 3646124971. The next prime is 3646125013. The reversal of 3646125000 is 5216463.

3646125000 is a `hidden beast` number, since 3 + 646 + 12 + 5 + 0 + 0 + 0 = 666.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 7874769 + ... + 7875231.

Almost surely, 2^3646125000 is an apocalyptic number.

3646125000 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 3646125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068659520).

3646125000 is an abundant number, since it is smaller than the sum of its proper divisors (10491194040).

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

3646125000 is an equidigital number, since it uses as much as digits as its factorization.

3646125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3646125000 is about 60383.1516236110. The cubic root of 3646125000 is about 1539.1366668288.

The spelling of 3646125000 in words is "three billion, six hundred forty-six million, one hundred twenty-five thousand".