33406740 has 36 divisors (see below), whose sum is σ = 101334324. Its totient is φ = 8908416.

The previous prime is 33406729. The next prime is 33406781. The reversal of 33406740 is 4760433.

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 24621444 = 2964^2 + 4962^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33406740² = 2232020554855200, which contains 22 as substring.

It is a congruent number.

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, 92617 + ... + 92976.

Almost surely, 2^33406740 is an apocalyptic number.

33406740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33406740 is an abundant number, since it is smaller than the sum of its proper divisors (67927584).

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

33406740 is a wasteful number, since it uses less digits than its factorization.

33406740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185608 (or 185603 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 33406740 is about 5779.8563996003. The cubic root of 33406740 is about 322.0658661859.

The spelling of 33406740 in words is "thirty-three million, four hundred six thousand, seven hundred forty".