33814740 has 48 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 8868480.

The previous prime is 33814733. The next prime is 33814747. The reversal of 33814740 is 4741833.

It is an interprime number because it is at equal distance from previous prime (33814733) and next prime (33814747).

It is a super-2 number, since 2×33814740² = 2286873282535200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33814698 and 33814707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33814747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960 + ... + 8279.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 2^33814740 is an apocalyptic number.

33814740 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 33814740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

33814740 is an abundant number, since it is smaller than the sum of its proper divisors (62429100).

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

33814740 is a wasteful number, since it uses less digits than its factorization.

33814740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9312 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 33814740 is about 5815.0442818606. The cubic root of 33814740 is about 323.3717057469.

The spelling of 33814740 in words is "thirty-three million, eight hundred fourteen thousand, seven hundred forty".