3383464000 has 224 divisors, whose sum is σ = 9890150400. Its totient is φ = 1122048000.

The previous prime is 3383463991. The next prime is 3383464009. The reversal of 3383464000 is 4643833.

It is an interprime number because it is at equal distance from previous prime (3383463991) and next prime (3383464009).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3383464000² = 22895657278592000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (3383464009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1735026 + ... + 1736974.

Almost surely, 2^3383464000 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 3383464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945075200).

3383464000 is an abundant number, since it is smaller than the sum of its proper divisors (6506686400).

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

3383464000 is a wasteful number, since it uses less digits than its factorization.

3383464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 3383464000 is about 58167.5510916525. The cubic root of 3383464000 is about 1501.2528791638.

The spelling of 3383464000 in words is "three billion, three hundred eighty-three million, four hundred sixty-four thousand".