33989474534400 has 5544 divisors, whose sum is σ = 166993075687680. Its totient is φ = 6772211712000.

The previous prime is 33989474534399. The next prime is 33989474534437. The reversal of 33989474534400 is 443547498933.

It is a happy number.

33989474534400 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 94 + 7 + 4 + 534 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5544).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 311830041546 + ... + 311830041654.

Almost surely, 2^{33989474534400} is an apocalyptic number.

33989474534400 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 33989474534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83496537843840).

33989474534400 is an abundant number, since it is smaller than the sum of its proper divisors (133003601153280).

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

33989474534400 is a wasteful number, since it uses less digits than its factorization.

33989474534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 33989474534400 in words is "thirty-three trillion, nine hundred eighty-nine billion, four hundred seventy-four million, five hundred thirty-four thousand, four hundred".