345572010 has 144 divisors (see below), whose sum is σ = 1090941696. Its totient is φ = 75531456.

The previous prime is 345572009. The next prime is 345572011. The reversal of 345572010 is 10275543.

It is a happy number.

345572010 is a `hidden beast` number, since 3 + 455 + 7 + 201 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345572009) and next prime (345572011).

It is not an unprimeable number, because it can be changed into a prime (345572011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99727 + ... + 103133.

It is an arithmetic number, because the mean of its divisors is an integer number (7575984).

Almost surely, 2^345572010 is an apocalyptic number.

345572010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345572010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545470848).

345572010 is an abundant number, since it is smaller than the sum of its proper divisors (745369686).

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

345572010 is a wasteful number, since it uses less digits than its factorization.

345572010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 345572010 is about 18589.5672354146. The cubic root of 345572010 is about 701.7453114613.

The spelling of 345572010 in words is "three hundred forty-five million, five hundred seventy-two thousand, ten".