3234756765240 has 4096 divisors, whose sum is σ = 16203143577600. Its totient is φ = 551809843200.

The previous prime is 3234756765221. The next prime is 3234756765241. The reversal of 3234756765240 is 425676574323.

3234756765240 is a `hidden beast` number, since 3 + 2 + 3 + 47 + 5 + 6 + 76 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234756765241) 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 1023 ways as a sum of consecutive naturals, for example, 45559954405 + ... + 45559954475.

It is an arithmetic number, because the mean of its divisors is an integer number (3955845600).

Almost surely, 2^{3234756765240} is an apocalyptic number.

3234756765240 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 3234756765240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101571788800).

3234756765240 is an abundant number, since it is smaller than the sum of its proper divisors (12968386812360).

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

3234756765240 is a wasteful number, since it uses less digits than its factorization.

3234756765240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 3234756765240 in words is "three trillion, two hundred thirty-four billion, seven hundred fifty-six million, seven hundred sixty-five thousand, two hundred forty".