342800640 has 576 divisors, whose sum is σ = 1510924800. Its totient is φ = 71663616.

The previous prime is 342800639. The next prime is 342800659. The reversal of 342800640 is 46008243.

342800640 = T₁₈₃ + T₁₈₄ + ... + T₁₂₇₂.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 3144906 + ... + 3145014.

Almost surely, 2^342800640 is an apocalyptic number.

342800640 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 342800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755462400).

342800640 is an abundant number, since it is smaller than the sum of its proper divisors (1168124160).

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

342800640 is a wasteful number, since it uses less digits than its factorization.

342800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

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

The square root of 342800640 is about 18514.8761810605. The cubic root of 342800640 is about 699.8643546689.

Adding to 342800640 its reverse (46008243), we get a palindrome (388808883).

The spelling of 342800640 in words is "three hundred forty-two million, eight hundred thousand, six hundred forty".