33379482720 has 384 divisors, whose sum is σ = 115726786560. Its totient is φ = 8056903680.

The previous prime is 33379482713. The next prime is 33379482761. The reversal of 33379482720 is 2728497333.

It is a super-2 number, since 2×33379482720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 33379482720.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18430615 + ... + 18432425.

It is an arithmetic number, because the mean of its divisors is an integer number (301371840).

Almost surely, 2^33379482720 is an apocalyptic number.

33379482720 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 33379482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57863393280).

33379482720 is an abundant number, since it is smaller than the sum of its proper divisors (82347303840).

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

33379482720 is a wasteful number, since it uses less digits than its factorization.

33379482720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 33379482720 in words is "thirty-three billion, three hundred seventy-nine million, four hundred eighty-two thousand, seven hundred twenty".