3367780920 has 384 divisors, whose sum is σ = 13370572800. Its totient is φ = 717631488.

The previous prime is 3367780919. The next prime is 3367780931. The reversal of 3367780920 is 290877633.

It is a happy number.

It is a super-3 number, since 3×3367780920³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5440371 + ... + 5440989.

It is an arithmetic number, because the mean of its divisors is an integer number (34819200).

Almost surely, 2^3367780920 is an apocalyptic number.

3367780920 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 3367780920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685286400).

3367780920 is an abundant number, since it is smaller than the sum of its proper divisors (10002791880).

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

3367780920 is a wasteful number, since it uses less digits than its factorization.

3367780920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3367780920 is about 58032.5849846446. The cubic root of 3367780920 is about 1498.9297432152.

The spelling of 3367780920 in words is "three billion, three hundred sixty-seven million, seven hundred eighty thousand, nine hundred twenty".