342904947840 has 1536 divisors, whose sum is σ = 1514822400000. Its totient is φ = 71433363456.

The previous prime is 342904947839. The next prime is 342904947907. The reversal of 342904947840 is 48749409243.

342904947840 is a `hidden beast` number, since 3 + 4 + 2 + 90 + 49 + 478 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4340568921 + ... + 4340568999.

It is an arithmetic number, because the mean of its divisors is an integer number (986212500).

Almost surely, 2^342904947840 is an apocalyptic number.

342904947840 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 342904947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757411200000).

342904947840 is an abundant number, since it is smaller than the sum of its proper divisors (1171917452160).

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

342904947840 is an equidigital number, since it uses as much as digits as its factorization.

342904947840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 342904947840 in words is "three hundred forty-two billion, nine hundred four million, nine hundred forty-seven thousand, eight hundred forty".