3597240000000 has 640 divisors, whose sum is σ = 12378268311552. Its totient is φ = 927360000000.

The previous prime is 3597239999999. The next prime is 3597240000077. The reversal of 3597240000000 is 427953.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3719999517 + ... + 3720000483.

Almost surely, 2^{3597240000000} is an apocalyptic number.

3597240000000 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 3597240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189134155776).

3597240000000 is an abundant number, since it is smaller than the sum of its proper divisors (8781028311552).

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

3597240000000 is an frugal number, since it uses more digits than its factorization.

3597240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 3597240000000 its reverse (427953), we get a palindrome (3597240427953).

The spelling of 3597240000000 in words is "three trillion, five hundred ninety-seven billion, two hundred forty million", and thus it is an aban number.