342014976 has 264 divisors, whose sum is σ = 1092115440. Its totient is φ = 102629376.

The previous prime is 342014941. The next prime is 342014977. The reversal of 342014976 is 679410243.

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

It is a self number, because there is not a number n which added to its sum of digits gives 342014976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342014977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5796835 + ... + 5796893.

Almost surely, 2^342014976 is an apocalyptic number.

342014976 is a gapful number since it is divisible by the number (36) 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 342014976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546057720).

342014976 is an abundant number, since it is smaller than the sum of its proper divisors (750100464).

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

342014976 is a wasteful number, since it uses less digits than its factorization.

342014976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 342014976 is about 18493.6469091415. The cubic root of 342014976 is about 699.3292731737.

The spelling of 342014976 in words is "three hundred forty-two million, fourteen thousand, nine hundred seventy-six".