34861428000 has 960 divisors, whose sum is σ = 154118764800. Its totient is φ = 7539609600.

The previous prime is 34861427941. The next prime is 34861428011. The reversal of 34861428000 is 82416843.

34861428000 is a `hidden beast` number, since 34 + 8 + 614 + 2 + 8 + 0 + 0 + 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 159 ways as a sum of consecutive naturals, for example, 43091596 + ... + 43092404.

It is an arithmetic number, because the mean of its divisors is an integer number (160540380).

Almost surely, 2^34861428000 is an apocalyptic number.

34861428000 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 34861428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77059382400).

34861428000 is an abundant number, since it is smaller than the sum of its proper divisors (119257336800).

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

34861428000 is a wasteful number, since it uses less digits than its factorization.

34861428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 34861428000 in words is "thirty-four billion, eight hundred sixty-one million, four hundred twenty-eight thousand".