342982080 has 448 divisors, whose sum is σ = 1422074880. Its totient is φ = 76197888.

The previous prime is 342982067. The next prime is 342982093. The reversal of 342982080 is 80289243.

It is an interprime number because it is at equal distance from previous prime (342982067) and next prime (342982093).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×342982080² = 235273414402252800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3205387 + ... + 3205493.

Almost surely, 2^342982080 is an apocalyptic number.

342982080 is a gapful number since it is divisible by the number (30) 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 342982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711037440).

342982080 is an abundant number, since it is smaller than the sum of its proper divisors (1079092800).

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

342982080 is a wasteful number, since it uses less digits than its factorization.

342982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 342982080 is about 18519.7753766076. The cubic root of 342982080 is about 699.9878093115.

The spelling of 342982080 in words is "three hundred forty-two million, nine hundred eighty-two thousand, eighty".