33734983680 has 680 divisors, whose sum is σ = 127891741824. Its totient is φ = 8493465600.

The previous prime is 33734983679. The next prime is 33734983687. The reversal of 33734983680 is 8638943733.

33734983680 is a `hidden beast` number, since 3 + 3 + 73 + 498 + 3 + 6 + 80 = 666.

It is a super-2 number, since 2×33734983680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33734983687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 822804460 + ... + 822804500.

Almost surely, 2^33734983680 is an apocalyptic number.

33734983680 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 33734983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63945870912).

33734983680 is an abundant number, since it is smaller than the sum of its proper divisors (94156758144).

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

33734983680 is an frugal number, since it uses more digits than its factorization.

33734983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 33734983680 in words is "thirty-three billion, seven hundred thirty-four million, nine hundred eighty-three thousand, six hundred eighty".