345533472 has 192 divisors, whose sum is σ = 1052835840. Its totient is φ = 110170368.

The previous prime is 345533467. The next prime is 345533477. The reversal of 345533472 is 274335543.

345533472 is a `hidden beast` number, since 3 + 4 + 553 + 34 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (345533467) and next prime (345533477).

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 (345533477) 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, 2720673 + ... + 2720799.

It is an arithmetic number, because the mean of its divisors is an integer number (5483520).

Almost surely, 2^345533472 is an apocalyptic number.

345533472 is a gapful number since it is divisible by the number (32) 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 345533472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526417920).

345533472 is an abundant number, since it is smaller than the sum of its proper divisors (707302368).

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

345533472 is a wasteful number, since it uses less digits than its factorization.

345533472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its digits is 151200, while the sum is 36.

The square root of 345533472 is about 18588.5306573704. The cubic root of 345533472 is about 701.7192244082.

It can be divided in two parts, 34553 and 3472, that added together give a square (38025 = 195²).

The spelling of 345533472 in words is "three hundred forty-five million, five hundred thirty-three thousand, four hundred seventy-two".