33834378240 has 704 divisors, whose sum is σ = 131890993920. Its totient is φ = 8174960640.

The previous prime is 33834378233. The next prime is 33834378247. The reversal of 33834378240 is 4287343833.

33834378240 is a `hidden beast` number, since 3 + 3 + 8 + 34 + 378 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (33834378233) and next prime (33834378247).

It is a super-3 number, since 3×33834378240³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (33834378247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120406900 + ... + 120407180.

Almost surely, 2^33834378240 is an apocalyptic number.

33834378240 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 33834378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65945496960).

33834378240 is an abundant number, since it is smaller than the sum of its proper divisors (98056615680).

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

33834378240 is a wasteful number, since it uses less digits than its factorization.

33834378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 33834378240 in words is "thirty-three billion, eight hundred thirty-four million, three hundred seventy-eight thousand, two hundred forty".