33406840 has 64 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 12472320.

The previous prime is 33406831. The next prime is 33406859. The reversal of 33406840 is 4860433.

33406840 = 1² + 2² + ... + 464².

It is a super-2 number, since 2×33406840² = 2232033917571200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33406799 and 33406808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35496 + ... + 36424.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 2^33406840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33406840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).

33406840 is an abundant number, since it is smaller than the sum of its proper divisors (46945160).

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

33406840 is a wasteful number, since it uses less digits than its factorization.

33406840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 33406840 is about 5779.8650503277. The cubic root of 33406840 is about 322.0661875438.

The spelling of 33406840 in words is "thirty-three million, four hundred six thousand, eight hundred forty".