3384951120 has 180 divisors, whose sum is σ = 11806247700. Its totient is φ = 902513664.

The previous prime is 3384951029. The next prime is 3384951161. The reversal of 3384951120 is 211594833.

It can be written as a sum of positive squares in 2 ways, for example, as 2457383184 + 927567936 = 49572^2 + 30456^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3384951120² = 22915788169578508800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 521656 + ... + 528104.

It is an arithmetic number, because the mean of its divisors is an integer number (65590265).

Almost surely, 2^3384951120 is an apocalyptic number.

3384951120 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 3384951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903123850).

3384951120 is an abundant number, since it is smaller than the sum of its proper divisors (8421296580).

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

3384951120 is an frugal number, since it uses more digits than its factorization.

3384951120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3384951120 is about 58180.3327594472. The cubic root of 3384951120 is about 1501.4727934464.

The spelling of 3384951120 in words is "three billion, three hundred eighty-four million, nine hundred fifty-one thousand, one hundred twenty".