345501010032 has 160 divisors (see below), whose sum is σ = 952287811584. Its totient is φ = 107746329600.

The previous prime is 345501010021. The next prime is 345501010061. The reversal of 345501010032 is 230010105543.

It is a super-3 number, since 3×345501010032³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 345501009984 and 345501010011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8623807 + ... + 8663777.

Almost surely, 2^345501010032 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 345501010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476143905792).

345501010032 is an abundant number, since it is smaller than the sum of its proper divisors (606786801552).

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

345501010032 is a wasteful number, since it uses less digits than its factorization.

345501010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40207 (or 40201 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 345501010032 its reverse (230010105543), we get a palindrome (575511115575).

The spelling of 345501010032 in words is "three hundred forty-five billion, five hundred one million, ten thousand, thirty-two".