34142921280 has 672 divisors, whose sum is σ = 132752592000. Its totient is φ = 8255250432.

The previous prime is 34142921243. The next prime is 34142921291. The reversal of 34142921280 is 8212924143.

34142921280 is a `hidden beast` number, since 3 + 414 + 29 + 212 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97830546 + ... + 97830894.

It is an arithmetic number, because the mean of its divisors is an integer number (197548500).

Almost surely, 2^34142921280 is an apocalyptic number.

34142921280 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 34142921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66376296000).

34142921280 is an abundant number, since it is smaller than the sum of its proper divisors (98609670720).

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

34142921280 is a wasteful number, since it uses less digits than its factorization.

34142921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 34142921280 in words is "thirty-four billion, one hundred forty-two million, nine hundred twenty-one thousand, two hundred eighty".