33861642240 has 384 divisors, whose sum is σ = 114967157760. Its totient is φ = 8502312960.

The previous prime is 33861642187. The next prime is 33861642247. The reversal of 33861642240 is 4224616833.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33861642240² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33861642247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915179502 + ... + 915179538.

It is an arithmetic number, because the mean of its divisors is an integer number (299393640).

Almost surely, 2^33861642240 is an apocalyptic number.

33861642240 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 33861642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57483578880).

33861642240 is an abundant number, since it is smaller than the sum of its proper divisors (81105515520).

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

33861642240 is an frugal number, since it uses more digits than its factorization.

33861642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 33861642240 in words is "thirty-three billion, eight hundred sixty-one million, six hundred forty-two thousand, two hundred forty".