7034307840 has 288 divisors, whose sum is σ = 28529007360. Its totient is φ = 1607786496.

The previous prime is 7034307757. The next prime is 7034307859. The reversal of 7034307840 is 487034307.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 7034307795 and 7034307804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227382 + ... + 256458.

Almost surely, 2^7034307840 is an apocalyptic number.

7034307840 is a gapful number since it is divisible by the number (70) 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 7034307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264503680).

7034307840 is an abundant number, since it is smaller than the sum of its proper divisors (21494699520).

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

7034307840 is a wasteful number, since it uses less digits than its factorization.

7034307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29114 (or 29094 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7034307840 is about 83870.7806092205. The cubic root of 7034307840 is about 1916.0512594466.

The spelling of 7034307840 in words is "seven billion, thirty-four million, three hundred seven thousand, eight hundred forty".