3384230400 has 360 divisors, whose sum is σ = 12541222980. Its totient is φ = 870481920.

The previous prime is 3384230393. The next prime is 3384230401. The reversal of 3384230400 is 40324833.

It can be written as a sum of positive squares in 6 ways, for example, as 267911424 + 3116318976 = 16368^2 + 55824^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3384230400² = 22906030800568320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3384230401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3340294 + ... + 3341306.

Almost surely, 2^3384230400 is an apocalyptic number.

3384230400 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 3384230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270611490).

3384230400 is an abundant number, since it is smaller than the sum of its proper divisors (9156992580).

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

3384230400 is a wasteful number, since it uses less digits than its factorization.

3384230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3384230400 is about 58174.1385840822. The cubic root of 3384230400 is about 1501.3662219140.

The spelling of 3384230400 in words is "three billion, three hundred eighty-four million, two hundred thirty thousand, four hundred".