3328197600 has 576 divisors, whose sum is σ = 13649126400. Its totient is φ = 699955200.

The previous prime is 3328197577. The next prime is 3328197641. The reversal of 3328197600 is 67918233.

It is a super-2 number, since 2×3328197600² = 22153798529291520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 10701445 + ... + 10701755.

It is an arithmetic number, because the mean of its divisors is an integer number (23696400).

Almost surely, 2^3328197600 is an apocalyptic number.

3328197600 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 3328197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824563200).

3328197600 is an abundant number, since it is smaller than the sum of its proper divisors (10320928800).

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

3328197600 is a wasteful number, since it uses less digits than its factorization.

3328197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3328197600 is about 57690.5330188585. The cubic root of 3328197600 is about 1493.0340111888.

The spelling of 3328197600 in words is "three billion, three hundred twenty-eight million, one hundred ninety-seven thousand, six hundred".