34003737040 has 320 divisors, whose sum is σ = 102403445760. Its totient is φ = 10212065280.

The previous prime is 34003737037. The next prime is 34003737071. The reversal of 34003737040 is 4073730043.

It is a junction number, because it is equal to n+sod(n) for n = 34003736993 and 34003737011.

It is a congruent number.

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, 11042221 + ... + 11045299.

It is an arithmetic number, because the mean of its divisors is an integer number (320010768).

Almost surely, 2^34003737040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34003737040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51201722880).

34003737040 is an abundant number, since it is smaller than the sum of its proper divisors (68399708720).

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

34003737040 is a wasteful number, since it uses less digits than its factorization.

34003737040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 31.

The spelling of 34003737040 in words is "thirty-four billion, three million, seven hundred thirty-seven thousand, forty".