34016752980 has 384 divisors, whose sum is σ = 132856012800. Its totient is φ = 7045429248.

The previous prime is 34016752967. The next prime is 34016753009. The reversal of 34016752980 is 8925761043.

34016752980 is a `hidden beast` number, since 3 + 40 + 1 + 6 + 7 + 529 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1641564 + ... + 1662156.

It is an arithmetic number, because the mean of its divisors is an integer number (345979200).

It is a 1-persistent number, because it is pandigital, but 2⋅34016752980 = 68033505960 is not.

Almost surely, 2^34016752980 is an apocalyptic number.

34016752980 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 34016752980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66428006400).

34016752980 is an abundant number, since it is smaller than the sum of its proper divisors (98839259820).

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

34016752980 is a wasteful number, since it uses less digits than its factorization.

34016752980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20660 (or 20652 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 34016752980 in words is "thirty-four billion, sixteen million, seven hundred fifty-two thousand, nine hundred eighty".