34030245023040 has 224 divisors, whose sum is σ = 124703763174144. Its totient is φ = 7701328281600.

The previous prime is 34030245023029. The next prime is 34030245023069. The reversal of 34030245023040 is 4032054203043.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 34030245022989 and 34030245023007.

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, 24390709 + ... + 25748148.

It is an arithmetic number, because the mean of its divisors is an integer number (556713228456).

Almost surely, 2^{34030245023040} is an apocalyptic number.

34030245023040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34030245023040 is an abundant number, since it is smaller than the sum of its proper divisors (90673518151104).

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

34030245023040 is a wasteful number, since it uses less digits than its factorization.

34030245023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50138985 (or 50138975 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 34030245023040 its reverse (4032054203043), we get a palindrome (38062299226083).

The spelling of 34030245023040 in words is "thirty-four trillion, thirty billion, two hundred forty-five million, twenty-three thousand, forty".