3362071680 has 384 divisors, whose sum is σ = 12946003200. Its totient is φ = 796999680.

The previous prime is 3362071663. The next prime is 3362071693. The reversal of 3362071680 is 861702633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3362071680² = 22607051962916044800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2977356 + ... + 2978484.

It is an arithmetic number, because the mean of its divisors is an integer number (33713550).

Almost surely, 2^3362071680 is an apocalyptic number.

3362071680 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 3362071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473001600).

3362071680 is an abundant number, since it is smaller than the sum of its proper divisors (9583931520).

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

3362071680 is a wasteful number, since it uses less digits than its factorization.

3362071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3362071680 is about 57983.3741688081. The cubic root of 3362071680 is about 1498.0822425157.

The spelling of 3362071680 in words is "three billion, three hundred sixty-two million, seventy-one thousand, six hundred eighty".