33974606343076 has 81 divisors (see below), whose sum is σ = 69511359993579. Its totient is φ = 14487487722288.

The previous prime is 33974606343071. The next prime is 33974606343113. The reversal of 33974606343076 is 67034360647933.

The square root of 33974606343076 is 5828774.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (33974606343071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18197431495 + ... + 18197433361.

Almost surely, 2^{33974606343076} is an apocalyptic number.

33974606343076 is the 5828774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33974606343076

33974606343076 is an abundant number, since it is smaller than the sum of its proper divisors (35536753650503).

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

33974606343076 is an frugal number, since it uses more digits than its factorization.

33974606343076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 61.

The spelling of 33974606343076 in words is "thirty-three trillion, nine hundred seventy-four billion, six hundred six million, three hundred forty-three thousand, seventy-six".