33955740 has 192 divisors, whose sum is σ = 130206720. Its totient is φ = 7153920.

The previous prime is 33955729. The next prime is 33955771. The reversal of 33955740 is 4755933.

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 = 33955695 and 33955704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48795 + ... + 49485.

It is an arithmetic number, because the mean of its divisors is an integer number (678160).

Almost surely, 2^33955740 is an apocalyptic number.

33955740 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 33955740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65103360).

33955740 is an abundant number, since it is smaller than the sum of its proper divisors (96250980).

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

33955740 is a wasteful number, since it uses less digits than its factorization.

33955740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 33955740 is about 5827.1553952164. The cubic root of 33955740 is about 323.8205453422.

The spelling of 33955740 in words is "thirty-three million, nine hundred fifty-five thousand, seven hundred forty".