33449625540 has 168 divisors, whose sum is σ = 105582331008. Its totient is φ = 8897532480.

The previous prime is 33449625529. The next prime is 33449625551. The reversal of 33449625540 is 4552694433.

33449625540 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 96 + 2 + 554 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (33449625529) and next prime (33449625551).

It is a super-2 number, since 2×33449625540² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6281319 + ... + 6286641.

It is an arithmetic number, because the mean of its divisors is an integer number (628466256).

Almost surely, 2^33449625540 is an apocalyptic number.

33449625540 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 33449625540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52791165504).

33449625540 is an abundant number, since it is smaller than the sum of its proper divisors (72132705468).

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

33449625540 is a wasteful number, since it uses less digits than its factorization.

33449625540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 33449625540 in words is "thirty-three billion, four hundred forty-nine million, six hundred twenty-five thousand, five hundred forty".