33974892000 has 576 divisors, whose sum is σ = 142584624000. Its totient is φ = 7496294400.

The previous prime is 33974891947. The next prime is 33974892011. The reversal of 33974892000 is 29847933.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 7305676 + ... + 7310324.

It is an arithmetic number, because the mean of its divisors is an integer number (247542750).

Almost surely, 2^33974892000 is an apocalyptic number.

33974892000 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 33974892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71292312000).

33974892000 is an abundant number, since it is smaller than the sum of its proper divisors (108609732000).

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

33974892000 is a wasteful number, since it uses less digits than its factorization.

33974892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 33974892000 in words is "thirty-three billion, nine hundred seventy-four million, eight hundred ninety-two thousand".