345624048 has 360 divisors, whose sum is σ = 1264691376. Its totient is φ = 87091200.

The previous prime is 345624043. The next prime is 345624049. The reversal of 345624048 is 840426543.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345624043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4734540 + ... + 4734612.

Almost surely, 2^345624048 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 345624048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632345688).

345624048 is an abundant number, since it is smaller than the sum of its proper divisors (919067328).

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

345624048 is a wasteful number, since it uses less digits than its factorization.

345624048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 345624048 is about 18590.9668387634. The cubic root of 345624048 is about 701.7805338256.

The spelling of 345624048 in words is "three hundred forty-five million, six hundred twenty-four thousand, forty-eight".