33401376 has 96 divisors (see below), whose sum is σ = 99046080. Its totient is φ = 10948608.

The previous prime is 33401363. The next prime is 33401393. The reversal of 33401376 is 67310433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33401376² = 2231303837386752, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57600 + ... + 58176.

It is an arithmetic number, because the mean of its divisors is an integer number (1031730).

Almost surely, 2^33401376 is an apocalyptic number.

33401376 is a gapful number since it is divisible by the number (36) 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 33401376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49523040).

33401376 is an abundant number, since it is smaller than the sum of its proper divisors (65644704).

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

33401376 is a wasteful number, since it uses less digits than its factorization.

33401376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 33401376 is about 5779.3923556028. The cubic root of 33401376 is about 322.0486276109.

The spelling of 33401376 in words is "thirty-three million, four hundred one thousand, three hundred seventy-six".