33978689472 has 224 divisors, whose sum is σ = 111527084032. Its totient is φ = 8890269696.

The previous prime is 33978689453. The next prime is 33978689489. The reversal of 33978689472 is 27498687933.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2211288 + ... + 2226600.

It is an arithmetic number, because the mean of its divisors is an integer number (497888768).

Almost surely, 2^33978689472 is an apocalyptic number.

33978689472 is a gapful number since it is divisible by the number (32) 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 33978689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55763542016).

33978689472 is an abundant number, since it is smaller than the sum of its proper divisors (77548394560).

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

33978689472 is a wasteful number, since it uses less digits than its factorization.

33978689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15475 (or 15465 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 66.

The spelling of 33978689472 in words is "thirty-three billion, nine hundred seventy-eight million, six hundred eighty-nine thousand, four hundred seventy-two".