3388004400 has 480 divisors, whose sum is σ = 12470059008. Its totient is φ = 778982400.

The previous prime is 3388004371. The next prime is 3388004407. The reversal of 3388004400 is 44008833.

It is a super-2 number, since 2×3388004400² = 22957147628838720000, which contains 22 as substring.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (3388004407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26677137 + ... + 26677263.

Almost surely, 2^3388004400 is an apocalyptic number.

3388004400 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 3388004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235029504).

3388004400 is an abundant number, since it is smaller than the sum of its proper divisors (9082054608).

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

3388004400 is a wasteful number, since it uses less digits than its factorization.

3388004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3388004400 is about 58206.5666398560. The cubic root of 3388004400 is about 1501.9241085932.

The spelling of 3388004400 in words is "three billion, three hundred eighty-eight million, four thousand, four hundred".