3396729600 has 432 divisors, whose sum is σ = 13595379840. Its totient is φ = 822988800.

The previous prime is 3396729593. The next prime is 3396729601. The reversal of 3396729600 is 69276933.

3396729600 is a `hidden beast` number, since 3 + 39 + 6 + 7 + 2 + 9 + 600 = 666.

3396729600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3396729601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1899907 + ... + 1901693.

Almost surely, 2^3396729600 is an apocalyptic number.

3396729600 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 3396729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797689920).

3396729600 is an abundant number, since it is smaller than the sum of its proper divisors (10198650240).

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

3396729600 is a wasteful number, since it uses less digits than its factorization.

3396729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 3396729600 is about 58281.4687529407. The cubic root of 3396729600 is about 1503.2123157741.

The spelling of 3396729600 in words is "three billion, three hundred ninety-six million, seven hundred twenty-nine thousand, six hundred".