342602937600 has 1728 divisors, whose sum is σ = 1493484410880. Its totient is φ = 67092480000.

The previous prime is 342602937581. The next prime is 342602937617. The reversal of 342602937600 is 6739206243.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2615289535 + ... + 2615289665.

It is an arithmetic number, because the mean of its divisors is an integer number (864284960).

Almost surely, 2^342602937600 is an apocalyptic number.

342602937600 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 342602937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746742205440).

342602937600 is an abundant number, since it is smaller than the sum of its proper divisors (1150881473280).

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

342602937600 is a wasteful number, since it uses less digits than its factorization.

342602937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 342602937600 in words is "three hundred forty-two billion, six hundred two million, nine hundred thirty-seven thousand, six hundred".