34861428 has 120 divisors (see below), whose sum is σ = 109771200. Its totient is φ = 9424512.

The previous prime is 34861423. The next prime is 34861487. The reversal of 34861428 is 82416843.

34861428 is a `hidden beast` number, since 34 + 8 + 614 + 2 + 8 = 666.

34861428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 34861392 and 34861401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34861423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42688 + ... + 43496.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 2^34861428 is an apocalyptic number.

34861428 is a gapful number since it is divisible by the number (38) 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 34861428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

34861428 is an abundant number, since it is smaller than the sum of its proper divisors (74909772).

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

34861428 is a wasteful number, since it uses less digits than its factorization.

34861428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 840 counting only the distinct ones).

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

The square root of 34861428 is about 5904.3566965420. The cubic root of 34861428 is about 326.6743665176.

It can be divided in two parts, 348 and 61428, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 34861428 in words is "thirty-four million, eight hundred sixty-one thousand, four hundred twenty-eight".