3236284074240 has 864 divisors, whose sum is σ = 13820178960000. Its totient is φ = 714203578368.

The previous prime is 3236284074203. The next prime is 3236284074241. The reversal of 3236284074240 is 424704826323.

3236284074240 is a `hidden beast` number, since 3 + 2 + 362 + 8 + 40 + 7 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (3236284074241) 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, 49076811 + ... + 49142709.

It is an arithmetic number, because the mean of its divisors is an integer number (15995577500).

Almost surely, 2^{3236284074240} is an apocalyptic number.

3236284074240 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 3236284074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910089480000).

3236284074240 is an abundant number, since it is smaller than the sum of its proper divisors (10583894885760).

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

3236284074240 is a wasteful number, since it uses less digits than its factorization.

3236284074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65972 (or 65945 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 3236284074240 in words is "three trillion, two hundred thirty-six billion, two hundred eighty-four million, seventy-four thousand, two hundred forty".