33972840 has 192 divisors, whose sum is σ = 126023040. Its totient is φ = 7856640.

The previous prime is 33972839. The next prime is 33972853. The reversal of 33972840 is 4827933.

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 = 33972795 and 33972804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90894 + ... + 91266.

It is an arithmetic number, because the mean of its divisors is an integer number (656370).

Almost surely, 2^33972840 is an apocalyptic number.

33972840 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 33972840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63011520).

33972840 is an abundant number, since it is smaller than the sum of its proper divisors (92050200).

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

33972840 is a wasteful number, since it uses less digits than its factorization.

33972840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 33972840 is about 5828.6224787680. The cubic root of 33972840 is about 323.8748945436.

The spelling of 33972840 in words is "thirty-three million, nine hundred seventy-two thousand, eight hundred forty".