34033377745920 has 704 divisors, whose sum is σ = 134491272145920. Its totient is φ = 7170438463488.

The previous prime is 34033377745867. The next prime is 34033377745921. The reversal of 34033377745920 is 2954777333043.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033377745921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75361432 + ... + 75811688.

Almost surely, 2^{34033377745920} is an apocalyptic number.

34033377745920 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 34033377745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67245636072960).

34033377745920 is an abundant number, since it is smaller than the sum of its proper divisors (100457894400000).

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

34033377745920 is a wasteful number, since it uses less digits than its factorization.

34033377745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450348 (or 450330 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 57.

The spelling of 34033377745920 in words is "thirty-four trillion, thirty-three billion, three hundred seventy-seven million, seven hundred forty-five thousand, nine hundred twenty".