3261527703040 has 160 divisors (see below), whose sum is σ = 7956244517760. Its totient is φ = 1281905762304.

The previous prime is 3261527703037. The next prime is 3261527703047. The reversal of 3261527703040 is 403077251623.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3261527702984 and 3261527703002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3261527703047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477736107 + ... + 477742933.

It is an arithmetic number, because the mean of its divisors is an integer number (49726528236).

Almost surely, 2^{3261527703040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3261527703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978122258880).

3261527703040 is an abundant number, since it is smaller than the sum of its proper divisors (4694716814720).

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

3261527703040 is an equidigital number, since it uses as much as digits as its factorization.

3261527703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10072 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 3261527703040 in words is "three trillion, two hundred sixty-one billion, five hundred twenty-seven million, seven hundred three thousand, forty".