3390847920 has 200 divisors, whose sum is σ = 12397205040. Its totient is φ = 856604160.

The previous prime is 3390847919. The next prime is 3390847937. The reversal of 3390847920 is 297480933.

It is a happy number.

It is a super-3 number, since 3×3390847920³ (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109350 + ... + 136890.

Almost surely, 2^3390847920 is an apocalyptic number.

3390847920 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 3390847920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198602520).

3390847920 is an abundant number, since it is smaller than the sum of its proper divisors (9006357120).

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

3390847920 is a wasteful number, since it uses less digits than its factorization.

3390847920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27585 (or 27570 counting only the distinct ones).

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

The square root of 3390847920 is about 58230.9876268641. The cubic root of 3390847920 is about 1502.3441746551.

The spelling of 3390847920 in words is "three billion, three hundred ninety million, eight hundred forty-seven thousand, nine hundred twenty".