33378400340 has 24 divisors (see below), whose sum is σ = 70817269992. Its totient is φ = 13213716480.

The previous prime is 33378400337. The next prime is 33378400343. The reversal of 33378400340 is 4300487333.

It is an interprime number because it is at equal distance from previous prime (33378400337) and next prime (33378400343).

It can be written as a sum of positive squares in 4 ways, for example, as 12266891536 + 21111508804 = 110756^2 + 145298^2 .

It is a super-2 number, since 2×33378400340² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33378400340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33378400343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8600741 + ... + 8604620.

It is an arithmetic number, because the mean of its divisors is an integer number (2950719583).

Almost surely, 2^33378400340 is an apocalyptic number.

It is an amenable number.

33378400340 is an abundant number, since it is smaller than the sum of its proper divisors (37438869652).

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

33378400340 is a wasteful number, since it uses less digits than its factorization.

33378400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17205467 (or 17205465 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

Adding to 33378400340 its reverse (4300487333), we get a palindrome (37678887673).

The spelling of 33378400340 in words is "thirty-three billion, three hundred seventy-eight million, four hundred thousand, three hundred forty".