33426480 has 160 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 8386560.

The previous prime is 33426469. The next prime is 33426551. The reversal of 33426480 is 8462433.

It is a super-2 number, since 2×33426480² = 2234659130380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423081 + ... + 423159.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^33426480 is an apocalyptic number.

33426480 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 33426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

33426480 is an abundant number, since it is smaller than the sum of its proper divisors (76566480).

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

33426480 is a wasteful number, since it uses less digits than its factorization.

33426480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 33426480 is about 5781.5638022943. The cubic root of 33426480 is about 322.1292897983.

The spelling of 33426480 in words is "thirty-three million, four hundred twenty-six thousand, four hundred eighty".