3245140869120 has 1600 divisors, whose sum is σ = 13154666976000. Its totient is φ = 761014517760.

The previous prime is 3245140869097. The next prime is 3245140869143. The reversal of 3245140869120 is 219680415423.

3245140869120 is a `hidden beast` number, since 3 + 2 + 4 + 514 + 0 + 8 + 6 + 9 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (3245140869097) and next prime (3245140869143).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104681963505 + ... + 104681963535.

It is an arithmetic number, because the mean of its divisors is an integer number (8221666860).

Almost surely, 2^{3245140869120} is an apocalyptic number.

3245140869120 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 3245140869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577333488000).

3245140869120 is an abundant number, since it is smaller than the sum of its proper divisors (9909526106880).

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

3245140869120 is an frugal number, since it uses more digits than its factorization.

3245140869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3245140869120 in words is "three trillion, two hundred forty-five billion, one hundred forty million, eight hundred sixty-nine thousand, one hundred twenty".