3363497984 has 216 divisors, whose sum is σ = 8630286210. Its totient is φ = 1305722880.

The previous prime is 3363497983. The next prime is 3363497999. The reversal of 3363497984 is 4897943633.

It can be written as a sum of positive squares in only one way, i.e., 3211715584 + 151782400 = 56672^2 + 12320^2 .

It is a super-2 number, since 2×3363497984² = 22626237376744128512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (3363497983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12142454 + ... + 12142730.

Almost surely, 2^3363497984 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 3363497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315143105).

3363497984 is an abundant number, since it is smaller than the sum of its proper divisors (5266788226).

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

3363497984 is a wasteful number, since it uses less digits than its factorization.

3363497984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 297 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 56.

The square root of 3363497984 is about 57995.6721143914. The cubic root of 3363497984 is about 1498.2940582069.

The spelling of 3363497984 in words is "three billion, three hundred sixty-three million, four hundred ninety-seven thousand, nine hundred eighty-four".