34001984 has 14 divisors (see below), whose sum is σ = 67472814. Its totient is φ = 17000960.

The previous prime is 34001983. The next prime is 34001987. The reversal of 34001984 is 48910043.

It can be written as a sum of positive squares in only one way, i.e., 19009600 + 14992384 = 4360^2 + 3872^2 .

It is a super-2 number, since 2×34001984² = 2312269831872512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34001983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 265577 + ... + 265704.

Almost surely, 2^34001984 is an apocalyptic number.

It is an amenable number.

34001984 is a deficient number, since it is larger than the sum of its proper divisors (33470830).

34001984 is an equidigital number, since it uses as much as digits as its factorization.

34001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531293 (or 531283 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 34001984 is about 5831.1220189600. The cubic root of 34001984 is about 323.9674813677.

The spelling of 34001984 in words is "thirty-four million, one thousand, nine hundred eighty-four".