42346800 has 150 divisors (see below), whose sum is σ = 152095548. Its totient is φ = 11283840.

The previous prime is 42346793. The next prime is 42346831. The reversal of 42346800 is 864324.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31747 + ... + 33053.

Almost surely, 2^42346800 is an apocalyptic number.

42346800 is a gapful number since it is divisible by the number (40) 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 42346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76047774).

42346800 is an abundant number, since it is smaller than the sum of its proper divisors (109748748).

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

42346800 is a wasteful number, since it uses less digits than its factorization.

42346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42346800 is about 6507.4418937091. The cubic root of 42346800 is about 348.5567781560.

The spelling of 42346800 in words is "forty-two million, three hundred forty-six thousand, eight hundred".