342093451392 has 288 divisors, whose sum is σ = 1249234412400. Its totient is φ = 88855280640.

The previous prime is 342093451373. The next prime is 342093451393. The reversal of 342093451392 is 293154390243.

342093451392 is a `hidden beast` number, since 3 + 4 + 20 + 93 + 451 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (342093451393) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345459 + ... + 896397.

Almost surely, 2^342093451392 is an apocalyptic number.

342093451392 is a gapful number since it is divisible by the number (32) 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 342093451392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624617206200).

342093451392 is an abundant number, since it is smaller than the sum of its proper divisors (907140961008).

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

342093451392 is a wasteful number, since it uses less digits than its factorization.

342093451392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550984 (or 550962 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 342093451392 in words is "three hundred forty-two billion, ninety-three million, four hundred fifty-one thousand, three hundred ninety-two".