34631330447040 has 896 divisors, whose sum is σ = 123054688567296. Its totient is φ = 8212119552000.

The previous prime is 34631330447003. The next prime is 34631330447041. The reversal of 34631330447040 is 4074403313643.

It is a junction number, because it is equal to n+sod(n) for n = 34631330446983 and 34631330447001.

It is not an unprimeable number, because it can be changed into a prime (34631330447041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4227969345 + ... + 4227977535.

Almost surely, 2^{34631330447040} is an apocalyptic number.

34631330447040 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 34631330447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61527344283648).

34631330447040 is an abundant number, since it is smaller than the sum of its proper divisors (88423358120256).

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

34631330447040 is a wasteful number, since it uses less digits than its factorization.

34631330447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 34631330447040 in words is "thirty-four trillion, six hundred thirty-one billion, three hundred thirty million, four hundred forty-seven thousand, forty".