3241837650240 has 672 divisors, whose sum is σ = 13230009811200. Its totient is φ = 740177657856.

The previous prime is 3241837650229. The next prime is 3241837650241. The reversal of 3241837650240 is 420567381423.

3241837650240 is a `hidden beast` number, since 3 + 24 + 1 + 83 + 7 + 6 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3241837650240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241837650241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 594939036 + ... + 594944484.

It is an arithmetic number, because the mean of its divisors is an integer number (19687514600).

Almost surely, 2^{3241837650240} is an apocalyptic number.

3241837650240 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 3241837650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615004905600).

3241837650240 is an abundant number, since it is smaller than the sum of its proper divisors (9988172160960).

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

3241837650240 is a wasteful number, since it uses less digits than its factorization.

3241837650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3241837650240 in words is "three trillion, two hundred forty-one billion, eight hundred thirty-seven million, six hundred fifty thousand, two hundred forty".