3390989184 has 576 divisors, whose sum is σ = 11999398320. Its totient is φ = 948879360.

The previous prime is 3390989183. The next prime is 3390989249. The reversal of 3390989184 is 4819890933.

3390989184 is a `hidden beast` number, since 3 + 390 + 98 + 91 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3390989184² = 22997615292009971712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3390989184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390989183) 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 71 ways as a sum of consecutive naturals, for example, 63980902 + ... + 63980954.

Almost surely, 2^3390989184 is an apocalyptic number.

3390989184 is a gapful number since it is divisible by the number (34) 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 3390989184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999699160).

3390989184 is an abundant number, since it is smaller than the sum of its proper divisors (8608409136).

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

3390989184 is a wasteful number, since it uses less digits than its factorization.

3390989184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 3390989184 is about 58232.2005766569. The cubic root of 3390989184 is about 1502.3650371065.

The spelling of 3390989184 in words is "three billion, three hundred ninety million, nine hundred eighty-nine thousand, one hundred eighty-four".