3388963200 has 768 divisors, whose sum is σ = 13841971200. Its totient is φ = 712212480.

The previous prime is 3388963189. The next prime is 3388963217. The reversal of 3388963200 is 23698833.

It is a super-2 number, since 2×3388963200² = 22970143141908480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72105577 + ... + 72105623.

It is an arithmetic number, because the mean of its divisors is an integer number (18023400).

Almost surely, 2^3388963200 is an apocalyptic number.

3388963200 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 3388963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920985600).

3388963200 is an abundant number, since it is smaller than the sum of its proper divisors (10453008000).

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

3388963200 is a wasteful number, since it uses less digits than its factorization.

3388963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3388963200 is about 58214.8022413544. The cubic root of 3388963200 is about 1502.0657759627.

The spelling of 3388963200 in words is "three billion, three hundred eighty-eight million, nine hundred sixty-three thousand, two hundred".