345147660 has 432 divisors, whose sum is σ = 1317580992. Its totient is φ = 72483840.

The previous prime is 345147643. The next prime is 345147661. The reversal of 345147660 is 66741543.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345147661) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6512194 + ... + 6512246.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2^345147660 is an apocalyptic number.

345147660 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 345147660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658790496).

345147660 is an abundant number, since it is smaller than the sum of its proper divisors (972433332).

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

345147660 is a wasteful number, since it uses less digits than its factorization.

345147660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 345147660 is about 18578.1500693691. The cubic root of 345147660 is about 701.4579544730.

The spelling of 345147660 in words is "three hundred forty-five million, one hundred forty-seven thousand, six hundred sixty".