342801648 has 180 divisors, whose sum is σ = 1175196360. Its totient is φ = 92752128.

The previous prime is 342801631. The next prime is 342801653. The reversal of 342801648 is 846108243.

342801648 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 0 + 1 + 648 = 666.

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 35 ways as a sum of consecutive naturals, for example, 132786 + ... + 135342.

Almost surely, 2^342801648 is an apocalyptic number.

342801648 is a gapful number since it is divisible by the number (38) 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 342801648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587598180).

342801648 is an abundant number, since it is smaller than the sum of its proper divisors (832394712).

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

342801648 is a wasteful number, since it uses less digits than its factorization.

342801648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 342801648 is about 18514.9034023945. The cubic root of 342801648 is about 699.8650406483.

The spelling of 342801648 in words is "three hundred forty-two million, eight hundred one thousand, six hundred forty-eight".