33844346640 has 400 divisors, whose sum is σ = 134040514608. Its totient is φ = 7840530432.

The previous prime is 33844346633. The next prime is 33844346663. The reversal of 33844346640 is 4664344833.

33844346640 is a `hidden beast` number, since 33 + 84 + 43 + 466 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 517653504 + 33326693136 = 22752^2 + 182556^2 .

It is a super-2 number, since 2×33844346640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1420264 + ... + 1443896.

Almost surely, 2^33844346640 is an apocalyptic number.

33844346640 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 33844346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67020257304).

33844346640 is an abundant number, since it is smaller than the sum of its proper divisors (100196167968).

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

33844346640 is a wasteful number, since it uses less digits than its factorization.

33844346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23688 (or 23673 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 33844346640 in words is "thirty-three billion, eight hundred forty-four million, three hundred forty-six thousand, six hundred forty".