34073149440 has 544 divisors, whose sum is σ = 125022859776. Its totient is φ = 7843348480.

The previous prime is 34073149339. The next prime is 34073149471. The reversal of 34073149440 is 4494137043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248709052 + ... + 248709188.

Almost surely, 2^34073149440 is an apocalyptic number.

34073149440 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 34073149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62511429888).

34073149440 is an abundant number, since it is smaller than the sum of its proper divisors (90949710336).

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

34073149440 is a wasteful number, since it uses less digits than its factorization.

34073149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 34073149440 in words is "thirty-four billion, seventy-three million, one hundred forty-nine thousand, four hundred forty".