34920204840 has 160 divisors (see below), whose sum is σ = 120543283080. Its totient is φ = 9060346368.

The previous prime is 34920204827. The next prime is 34920204857. The reversal of 34920204840 is 4840202943.

It can be written as a sum of positive squares in 4 ways, for example, as 34714397124 + 205807716 = 186318^2 + 14346^2 .

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 = 34920204795 and 34920204804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25767 + ... + 265526.

Almost surely, 2^34920204840 is an apocalyptic number.

34920204840 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 34920204840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60271641540).

34920204840 is an abundant number, since it is smaller than the sum of its proper divisors (85623078240).

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

34920204840 is a wasteful number, since it uses less digits than its factorization.

34920204840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291353 (or 291340 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34920204840 in words is "thirty-four billion, nine hundred twenty million, two hundred four thousand, eight hundred forty".