3321869760 has 672 divisors, whose sum is σ = 13420173312. Its totient is φ = 746127360.

The previous prime is 3321869723. The next prime is 3321869773. The reversal of 3321869760 is 679681233.

It is a super-2 number, since 2×3321869760² = 22069637404804915200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34246032 + ... + 34246128.

It is an arithmetic number, because the mean of its divisors is an integer number (19970496).

Almost surely, 2^3321869760 is an apocalyptic number.

3321869760 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 3321869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710086656).

3321869760 is an abundant number, since it is smaller than the sum of its proper divisors (10098303552).

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

3321869760 is a wasteful number, since it uses less digits than its factorization.

3321869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3321869760 is about 57635.6639590454. The cubic root of 3321869760 is about 1492.0871849711.

The spelling of 3321869760 in words is "three billion, three hundred twenty-one million, eight hundred sixty-nine thousand, seven hundred sixty".