3344442600 has 96 divisors (see below), whose sum is σ = 10405717920. Its totient is φ = 888587520.

The previous prime is 3344442583. The next prime is 3344442601. The reversal of 3344442600 is 62444433.

It is a super-2 number, since 2×3344442600² = 22370592609389520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3344442601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156139 + ... + 176261.

It is an arithmetic number, because the mean of its divisors is an integer number (108392895).

Almost surely, 2^3344442600 is an apocalyptic number.

3344442600 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 3344442600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202858960).

3344442600 is an abundant number, since it is smaller than the sum of its proper divisors (7061275320).

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

3344442600 is a wasteful number, since it uses less digits than its factorization.

3344442600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20419 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3344442600 is about 57831.1559628545. The cubic root of 3344442600 is about 1495.4592460167.

The spelling of 3344442600 in words is "three billion, three hundred forty-four million, four hundred forty-two thousand, six hundred".