3245145845760 has 3120 divisors, whose sum is σ = 15147442781856. Its totient is φ = 658158649344.

The previous prime is 3245145845737. The next prime is 3245145845761. The reversal of 3245145845760 is 675485415423.

3245145845760 is a `hidden beast` number, since 3 + 2 + 4 + 5 + 1 + 4 + 584 + 57 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

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

It is a junction number, because it is equal to n+sod(n) for n = 3245145845697 and 3245145845706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245145845761) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39098142679 + ... + 39098142761.

Almost surely, 2^{3245145845760} is an apocalyptic number.

3245145845760 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 3245145845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573721390928).

3245145845760 is an abundant number, since it is smaller than the sum of its proper divisors (11902296936096).

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

3245145845760 is a wasteful number, since it uses less digits than its factorization.

3245145845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 3245145845760 in words is "three trillion, two hundred forty-five billion, one hundred forty-five million, eight hundred forty-five thousand, seven hundred sixty".