33407700840 has 48 divisors (see below), whose sum is σ = 108575028900. Its totient is φ = 8908720128.

The previous prime is 33407700829. The next prime is 33407700853. The reversal of 33407700840 is 4800770433.

It can be written as a sum of positive squares in 2 ways, for example, as 32307186564 + 1100514276 = 179742^2 + 33174^2 .

It is a super-2 number, since 2×33407700840² (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 = 33407700795 and 33407700804.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46399225 + ... + 46399944.

Almost surely, 2^33407700840 is an apocalyptic number.

33407700840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33407700840 is an abundant number, since it is smaller than the sum of its proper divisors (75167328060).

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

33407700840 is a wasteful number, since it uses less digits than its factorization.

33407700840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92799186 (or 92799179 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 33407700840 in words is "thirty-three billion, four hundred seven million, seven hundred thousand, eight hundred forty".