3301094400 has 264 divisors, whose sum is σ = 11129850144. Its totient is φ = 862617600.

The previous prime is 3301094393. The next prime is 3301094411. The reversal of 3301094400 is 44901033.

It is a super-2 number, since 2×3301094400² = 21794448475422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4069995 + ... + 4070805.

Almost surely, 2^3301094400 is an apocalyptic number.

3301094400 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 3301094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564925072).

3301094400 is an abundant number, since it is smaller than the sum of its proper divisors (7828755744).

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

3301094400 is a wasteful number, since it uses less digits than its factorization.

3301094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3301094400 is about 57455.1512050921. The cubic root of 3301094400 is about 1488.9701154501.

Adding to 3301094400 its reverse (44901033), we get a palindrome (3345995433).

The spelling of 3301094400 in words is "three billion, three hundred one million, ninety-four thousand, four hundred".