33485400 has 288 divisors, whose sum is σ = 127960560. Its totient is φ = 8087040.

The previous prime is 33485399. The next prime is 33485443. The reversal of 33485400 is 458433.

It is a happy number.

It is a super-2 number, since 2×33485400² = 2242544026320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631774 + ... + 631826.

Almost surely, 2^33485400 is an apocalyptic number.

33485400 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 33485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

33485400 is an abundant number, since it is smaller than the sum of its proper divisors (94475160).

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

33485400 is a wasteful number, since it uses less digits than its factorization.

33485400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 33485400 is about 5786.6570660443. The cubic root of 33485400 is about 322.3184483824.

The spelling of 33485400 in words is "thirty-three million, four hundred eighty-five thousand, four hundred".