34425114534720 has 336 divisors, whose sum is σ = 145732985973120. Its totient is φ = 7263320813568.

The previous prime is 34425114534719. The next prime is 34425114534737. The reversal of 34425114534720 is 2743541152443.

34425114534720 is a `hidden beast` number, since 3 + 4 + 42 + 5 + 1 + 1 + 4 + 534 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65414650 + ... + 65938809.

It is an arithmetic number, because the mean of its divisors is an integer number (433729124920).

Almost surely, 2^{34425114534720} is an apocalyptic number.

34425114534720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34425114534720 is an abundant number, since it is smaller than the sum of its proper divisors (111307871438400).

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

34425114534720 is a wasteful number, since it uses less digits than its factorization.

34425114534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131353502 (or 131353489 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 34425114534720 in words is "thirty-four trillion, four hundred twenty-five billion, one hundred fourteen million, five hundred thirty-four thousand, seven hundred twenty".