3645996934500 has 1152 divisors, whose sum is σ = 12984017679360. Its totient is φ = 882524160000.

The previous prime is 3645996934477. The next prime is 3645996934501. The reversal of 3645996934500 is 54396995463.

3645996934500 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 9 + 96 + 9 + 34 + 500 = 666.

It is not an unprimeable number, because it can be changed into a prime (3645996934501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14186758372 + ... + 14186758628.

It is an arithmetic number, because the mean of its divisors is an integer number (11270848680).

Almost surely, 2^{3645996934500} is an apocalyptic number.

3645996934500 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 3645996934500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492008839680).

3645996934500 is an abundant number, since it is smaller than the sum of its proper divisors (9338020744860).

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

3645996934500 is a wasteful number, since it uses less digits than its factorization.

3645996934500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 3645996934500 in words is "three trillion, six hundred forty-five billion, nine hundred ninety-six million, nine hundred thirty-four thousand, five hundred".