342939018240 has 1584 divisors, whose sum is σ = 1531536709248. Its totient is φ = 72045821952.

The previous prime is 342939018221. The next prime is 342939018241. The reversal of 342939018240 is 42810939243.

342939018240 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 390 + 18 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342939018241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1471841164 + ... + 1471841396.

Almost surely, 2^342939018240 is an apocalyptic number.

342939018240 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 342939018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765768354624).

342939018240 is an abundant number, since it is smaller than the sum of its proper divisors (1188597691008).

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

342939018240 is a wasteful number, since it uses less digits than its factorization.

342939018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 342939018240 in words is "three hundred forty-two billion, nine hundred thirty-nine million, eighteen thousand, two hundred forty".