33801344640 has 1152 divisors, whose sum is σ = 146278379520. Its totient is φ = 7153090560.

The previous prime is 33801344623. The next prime is 33801344653. The reversal of 33801344640 is 4644310833.

It is a happy number.

33801344640 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 1 + 3 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×33801344640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33801344595 and 33801344604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266152257 + ... + 266152383.

It is an arithmetic number, because the mean of its divisors is an integer number (126977760).

Almost surely, 2^33801344640 is an apocalyptic number.

33801344640 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 33801344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73139189760).

33801344640 is an abundant number, since it is smaller than the sum of its proper divisors (112477034880).

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

33801344640 is a wasteful number, since it uses less digits than its factorization.

33801344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 33801344640 in words is "thirty-three billion, eight hundred one million, three hundred forty-four thousand, six hundred forty".