33726540 has 48 divisors (see below), whose sum is σ = 94687488. Its totient is φ = 8969664.

The previous prime is 33726529. The next prime is 33726547. The reversal of 33726540 is 4562733.

It is a super-2 number, since 2×33726540² = 2274959000743200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33726498 and 33726507.

It is not an unprimeable number, because it can be changed into a prime (33726547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40569 + ... + 41391.

It is an arithmetic number, because the mean of its divisors is an integer number (1972656).

Almost surely, 2^33726540 is an apocalyptic number.

33726540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33726540 is an abundant number, since it is smaller than the sum of its proper divisors (60960948).

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

33726540 is a wasteful number, since it uses less digits than its factorization.

33726540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 33726540 is about 5807.4555529939. The cubic root of 33726540 is about 323.0903075739.

The spelling of 33726540 in words is "thirty-three million, seven hundred twenty-six thousand, five hundred forty".