345021532000 has 192 divisors, whose sum is σ = 895212077760. Its totient is φ = 130323456000.

The previous prime is 345021531989. The next prime is 345021532001. The reversal of 345021532000 is 235120543.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345021532001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24084840 + ... + 24099160.

It is an arithmetic number, because the mean of its divisors is an integer number (4662562905).

Almost surely, 2^345021532000 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 345021532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447606038880).

345021532000 is an abundant number, since it is smaller than the sum of its proper divisors (550190545760).

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

345021532000 is a wasteful number, since it uses less digits than its factorization.

345021532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14682 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 345021532000 its reverse (235120543), we get a palindrome (345256652543).

The spelling of 345021532000 in words is "three hundred forty-five billion, twenty-one million, five hundred thirty-two thousand".