3395066400 has 540 divisors, whose sum is σ = 13640458986. Its totient is φ = 821145600.

The previous prime is 3395066371. The next prime is 3395066417. The reversal of 3395066400 is 46605933.

3395066400 is a `hidden beast` number, since 3 + 3 + 9 + 5 + 0 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1795386384 + 1599680016 = 42372^2 + 39996^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7840584 + ... + 7841016.

Almost surely, 2^3395066400 is an apocalyptic number.

3395066400 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 3395066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820229493).

3395066400 is an abundant number, since it is smaller than the sum of its proper divisors (10245392586).

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

3395066400 is a wasteful number, since it uses less digits than its factorization.

3395066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3395066400 is about 58267.1983194662. The cubic root of 3395066400 is about 1502.9669276909.

The spelling of 3395066400 in words is "three billion, three hundred ninety-five million, sixty-six thousand, four hundred".