34002489692160 has 2912 divisors, whose sum is σ = 148979706088320. Its totient is φ = 7338354278400.

The previous prime is 34002489692113. The next prime is 34002489692161. The reversal of 34002489692160 is 6129698420043.

34002489692160 is a `hidden beast` number, since 3 + 40 + 0 + 2 + 489 + 69 + 2 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34002489692097 and 34002489692106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002489692161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 53046005440 + ... + 53046006080.

Almost surely, 2^{34002489692160} is an apocalyptic number.

34002489692160 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 34002489692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74489853044160).

34002489692160 is an abundant number, since it is smaller than the sum of its proper divisors (114977216396160).

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

34002489692160 is a wasteful number, since it uses less digits than its factorization.

34002489692160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 34002489692160 in words is "thirty-four trillion, two billion, four hundred eighty-nine million, six hundred ninety-two thousand, one hundred sixty".