34142682000 has 160 divisors (see below), whose sum is σ = 125801305344. Its totient is φ = 7804032000.

The previous prime is 34142681999. The next prime is 34142682011. The reversal of 34142682000 is 28624143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364461 + ... + 448460.

Almost surely, 2^34142682000 is an apocalyptic number.

34142682000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34142682000 is an abundant number, since it is smaller than the sum of its proper divisors (91658623344).

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

34142682000 is a wasteful number, since it uses less digits than its factorization.

34142682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812954 (or 812938 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 34142682000 in words is "thirty-four billion, one hundred forty-two million, six hundred eighty-two thousand".