34020354984 has 256 divisors, whose sum is σ = 112496947200. Its totient is φ = 8300236800.

The previous prime is 34020354919. The next prime is 34020355003. The reversal of 34020354984 is 48945302043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25791877 + ... + 25793195.

It is an arithmetic number, because the mean of its divisors is an integer number (439441200).

Almost surely, 2^34020354984 is an apocalyptic number.

34020354984 is a gapful number since it is divisible by the number (34) 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 34020354984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56248473600).

34020354984 is an abundant number, since it is smaller than the sum of its proper divisors (78476592216).

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

34020354984 is a wasteful number, since it uses less digits than its factorization.

34020354984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 34020354984 in words is "thirty-four billion, twenty million, three hundred fifty-four thousand, nine hundred eighty-four".