3306536400 has 60 divisors (see below), whose sum is σ = 10591942112. Its totient is φ = 881742720.

The previous prime is 3306536357. The next prime is 3306536411. The reversal of 3306536400 is 46356033.

3306536400 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 (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1376524 + ... + 1378923.

Almost surely, 2^3306536400 is an apocalyptic number.

3306536400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3306536400 is an abundant number, since it is smaller than the sum of its proper divisors (7285405712).

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

3306536400 is a wasteful number, since it uses less digits than its factorization.

3306536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755468 (or 2755457 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 3306536400 is about 57502.4903808522. The cubic root of 3306536400 is about 1489.7878772544.

The spelling of 3306536400 in words is "three billion, three hundred six million, five hundred thirty-six thousand, four hundred".