3399288984 has 384 divisors, whose sum is σ = 11953267200. Its totient is φ = 876096000.

The previous prime is 3399288983. The next prime is 3399289013. The reversal of 3399288984 is 4898829933.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399288983) 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 95 ways as a sum of consecutive naturals, for example, 13542859 + ... + 13543109.

It is an arithmetic number, because the mean of its divisors is an integer number (31128300).

Almost surely, 2^3399288984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3399288984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976633600).

3399288984 is an abundant number, since it is smaller than the sum of its proper divisors (8553978216).

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

3399288984 is a wasteful number, since it uses less digits than its factorization.

3399288984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 3399288984 is about 58303.4217177688. The cubic root of 3399288984 is about 1503.5897701801.

The spelling of 3399288984 in words is "three billion, three hundred ninety-nine million, two hundred eighty-eight thousand, nine hundred eighty-four".