34050628440 has 96 divisors (see below), whose sum is σ = 113238187920. Its totient is φ = 8868996864.

The previous prime is 34050628349. The next prime is 34050628477. The reversal of 34050628440 is 4482605043.

34050628440 is a `hidden beast` number, since 34 + 0 + 506 + 2 + 84 + 40 = 666.

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 = 34050628395 and 34050628404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084347 + ... + 1115306.

Almost surely, 2^34050628440 is an apocalyptic number.

34050628440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34050628440 is an abundant number, since it is smaller than the sum of its proper divisors (79187559480).

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

34050628440 is a wasteful number, since it uses less digits than its factorization.

34050628440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199713 (or 2199706 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 34050628440 in words is "thirty-four billion, fifty million, six hundred twenty-eight thousand, four hundred forty".