345644040 has 192 divisors, whose sum is σ = 1248436800. Its totient is φ = 76242432.

The previous prime is 345644027. The next prime is 345644041. The reversal of 345644040 is 40446543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 345643989 and 345644007.

It is not an unprimeable number, because it can be changed into a prime (345644041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169507 + ... + 171533.

It is an arithmetic number, because the mean of its divisors is an integer number (6502275).

Almost surely, 2^345644040 is an apocalyptic number.

345644040 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 345644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624218400).

345644040 is an abundant number, since it is smaller than the sum of its proper divisors (902792760).

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

345644040 is a wasteful number, since it uses less digits than its factorization.

345644040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 345644040 is about 18591.5045114697. The cubic root of 345644040 is about 701.7940646414.

The spelling of 345644040 in words is "three hundred forty-five million, six hundred forty-four thousand, forty".