34009395420 has 384 divisors, whose sum is σ = 134590095360. Its totient is φ = 6179742720.

The previous prime is 34009395397. The next prime is 34009395451. The reversal of 34009395420 is 2459390043.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1126239 + ... + 1156041.

It is an arithmetic number, because the mean of its divisors is an integer number (350495040).

Almost surely, 2^34009395420 is an apocalyptic number.

34009395420 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 34009395420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67295047680).

34009395420 is an abundant number, since it is smaller than the sum of its proper divisors (100580699940).

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

34009395420 is a wasteful number, since it uses less digits than its factorization.

34009395420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29865 (or 29863 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 34009395420 in words is "thirty-four billion, nine million, three hundred ninety-five thousand, four hundred twenty".