34003178040 has 256 divisors, whose sum is σ = 112521830400. Its totient is φ = 8169283584.

The previous prime is 34003178039. The next prime is 34003178047. The reversal of 34003178040 is 4087130043.

It is a super-2 number, since 2×34003178040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34003177989 and 34003178007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003178047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11809321 + ... + 11812199.

It is an arithmetic number, because the mean of its divisors is an integer number (439538400).

Almost surely, 2^34003178040 is an apocalyptic number.

34003178040 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 34003178040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56260915200).

34003178040 is an abundant number, since it is smaller than the sum of its proper divisors (78518652360).

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

34003178040 is a wasteful number, since it uses less digits than its factorization.

34003178040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 34003178040 in words is "thirty-four billion, three million, one hundred seventy-eight thousand, forty".