3263241937440 has 96 divisors (see below), whose sum is σ = 10497918816000. Its totient is φ = 851682996224.

The previous prime is 3263241937399. The next prime is 3263241937441. The reversal of 3263241937440 is 447391423623.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3263241937440.

It is not an unprimeable number, because it can be changed into a prime (3263241937441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72301065 + ... + 72346184.

It is an arithmetic number, because the mean of its divisors is an integer number (109353321000).

Almost surely, 2^{3263241937440} is an apocalyptic number.

3263241937440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3263241937440 is an abundant number, since it is smaller than the sum of its proper divisors (7234676878560).

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

3263241937440 is a wasteful number, since it uses less digits than its factorization.

3263241937440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144647314 (or 144647306 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 3263241937440 in words is "three trillion, two hundred sixty-three billion, two hundred forty-one million, nine hundred thirty-seven thousand, four hundred forty".