342445824 has 216 divisors, whose sum is σ = 1195740000. Its totient is φ = 92012544.

The previous prime is 342445823. The next prime is 342445843. The reversal of 342445824 is 428544243.

342445824 is a `hidden beast` number, since 34 + 2 + 44 + 582 + 4 = 666.

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

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 (342445823) 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 23 ways as a sum of consecutive naturals, for example, 273552 + ... + 274800.

Almost surely, 2^342445824 is an apocalyptic number.

342445824 is a gapful number since it is divisible by the number (34) 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 342445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597870000).

342445824 is an abundant number, since it is smaller than the sum of its proper divisors (853294176).

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

342445824 is a wasteful number, since it uses less digits than its factorization.

342445824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1278 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 342445824 is about 18505.2917837034. The cubic root of 342445824 is about 699.6228063102.

The spelling of 342445824 in words is "three hundred forty-two million, four hundred forty-five thousand, eight hundred twenty-four".