34103076840 has 768 divisors, whose sum is σ = 137277504000. Its totient is φ = 7608287232.

The previous prime is 34103076827. The next prime is 34103076853. The reversal of 34103076840 is 4867030143.

34103076840 is a `hidden beast` number, since 341 + 0 + 307 + 6 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34103076827) and next prime (34103076853).

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 = 34103076795 and 34103076804.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176699784 + ... + 176699976.

It is an arithmetic number, because the mean of its divisors is an integer number (178746750).

Almost surely, 2^34103076840 is an apocalyptic number.

34103076840 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 34103076840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68638752000).

34103076840 is an abundant number, since it is smaller than the sum of its proper divisors (103174427160).

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

34103076840 is a wasteful number, since it uses less digits than its factorization.

34103076840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34103076840 in words is "thirty-four billion, one hundred three million, seventy-six thousand, eight hundred forty".