3377734080 has 224 divisors, whose sum is σ = 12977750016. Its totient is φ = 726614016.

The previous prime is 3377734013. The next prime is 3377734093. The reversal of 3377734080 is 804377733.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3377734080² = 22818175030386892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99457 + ... + 129023.

It is an arithmetic number, because the mean of its divisors is an integer number (57936384).

Almost surely, 2^3377734080 is an apocalyptic number.

3377734080 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 3377734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488875008).

3377734080 is an abundant number, since it is smaller than the sum of its proper divisors (9600015936).

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

3377734080 is a wasteful number, since it uses less digits than its factorization.

3377734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29611 (or 29601 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 3377734080 is about 58118.2766434105. The cubic root of 3377734080 is about 1500.4049395617.

The spelling of 3377734080 in words is "three billion, three hundred seventy-seven million, seven hundred thirty-four thousand, eighty".