3379041600 has 168 divisors, whose sum is σ = 12094086048. Its totient is φ = 819148800.

The previous prime is 3379041581. The next prime is 3379041607. The reversal of 3379041600 is 61409733.

It is a super-2 number, since 2×3379041600² = 22835844269061120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379041607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20802 + ... + 84798.

Almost surely, 2^3379041600 is an apocalyptic number.

3379041600 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 3379041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047043024).

3379041600 is an abundant number, since it is smaller than the sum of its proper divisors (8715044448).

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

3379041600 is a wasteful number, since it uses less digits than its factorization.

3379041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64033 (or 64018 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3379041600 is about 58129.5243400460. The cubic root of 3379041600 is about 1500.5985167090.

The spelling of 3379041600 in words is "three billion, three hundred seventy-nine million, forty-one thousand, six hundred".