33948480 has 56 divisors (see below), whose sum is σ = 107789472. Its totient is φ = 9052672.

The previous prime is 33948443. The next prime is 33948517. The reversal of 33948480 is 8484933.

It is an interprime number because it is at equal distance from previous prime (33948443) and next prime (33948517).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16722 + ... + 18641.

It is an arithmetic number, because the mean of its divisors is an integer number (1924812).

Almost surely, 2^33948480 is an apocalyptic number.

33948480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33948480 is an abundant number, since it is smaller than the sum of its proper divisors (73840992).

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

33948480 is a wasteful number, since it uses less digits than its factorization.

33948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35383 (or 35373 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 33948480 is about 5826.5324164549. The cubic root of 33948480 is about 323.7974652510.

The spelling of 33948480 in words is "thirty-three million, nine hundred forty-eight thousand, four hundred eighty".