3367766220 has 384 divisors, whose sum is σ = 12160253952. Its totient is φ = 677376000.

The previous prime is 3367766219. The next prime is 3367766221. The reversal of 3367766220 is 226677633.

It is an interprime number because it is at equal distance from previous prime (3367766219) and next prime (3367766221).

It is a super-2 number, since 2×3367766220² = 22683698625146176800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3367766221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17095162 + ... + 17095358.

It is an arithmetic number, because the mean of its divisors is an integer number (31667328).

Almost surely, 2^3367766220 is an apocalyptic number.

3367766220 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 3367766220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080126976).

3367766220 is an abundant number, since it is smaller than the sum of its proper divisors (8792487732).

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

3367766220 is a wasteful number, since it uses less digits than its factorization.

3367766220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The square root of 3367766220 is about 58032.4583315234. The cubic root of 3367766220 is about 1498.9275623232.

The spelling of 3367766220 in words is "three billion, three hundred sixty-seven million, seven hundred sixty-six thousand, two hundred twenty".