34321980 has 384 divisors, whose sum is σ = 139345920. Its totient is φ = 6082560.

The previous prime is 34321967. The next prime is 34322017. The reversal of 34321980 is 8912343.

34321980 = T₁₅₄ + T₁₅₅ + ... + T₅₉₃.

34321980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34321980² = 2355996622240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1492249 + ... + 1492271.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^34321980 is an apocalyptic number.

34321980 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 34321980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

34321980 is an abundant number, since it is smaller than the sum of its proper divisors (105023940).

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

34321980 is a wasteful number, since it uses less digits than its factorization.

34321980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 34321980 is about 5858.4963941271. The cubic root of 34321980 is about 324.9806063378.

The spelling of 34321980 in words is "thirty-four million, three hundred twenty-one thousand, nine hundred eighty".