33468750 has 168 divisors, whose sum is σ = 109686096. Its totient is φ = 7200000.

The previous prime is 33468737. The next prime is 33468763. The reversal of 33468750 is 5786433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33468737) and next prime (33468763).

It is a super-2 number, since 2×33468750² = 2240314453125000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1968742 + ... + 1968758.

Almost surely, 2^33468750 is an apocalyptic number.

33468750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33468750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54843048).

33468750 is an abundant number, since it is smaller than the sum of its proper divisors (76217346).

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

33468750 is an equidigital number, since it uses as much as digits as its factorization.

33468750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 33468750 is about 5785.2182327031. The cubic root of 33468750 is about 322.2650172165.

The spelling of 33468750 in words is "thirty-three million, four hundred sixty-eight thousand, seven hundred fifty".