33896940 has 288 divisors, whose sum is σ = 128701440. Its totient is φ = 6504960.

The previous prime is 33896923. The next prime is 33896953. The reversal of 33896940 is 4969833.

It is a super-2 number, since 2×33896940² = 2298005082727200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 33896892 and 33896901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1168846 + ... + 1168874.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 2^33896940 is an apocalyptic number.

33896940 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 33896940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

33896940 is an abundant number, since it is smaller than the sum of its proper divisors (94804500).

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

33896940 is a wasteful number, since it uses less digits than its factorization.

33896940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 33896940 is about 5822.1078657132. The cubic root of 33896940 is about 323.6335210047.

The spelling of 33896940 in words is "thirty-three million, eight hundred ninety-six thousand, nine hundred forty".