3201062400 has 360 divisors, whose sum is σ = 11780998944. Its totient is φ = 829440000.

The previous prime is 3201062357. The next prime is 3201062443. The reversal of 3201062400 is 42601023.

It is a happy number.

3201062400 is a `hidden beast` number, since 3 + 201 + 0 + 62 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3201062357) and next prime (3201062443).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4262025 + ... + 4262775.

Almost surely, 2^3201062400 is an apocalyptic number.

3201062400 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 3201062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890499472).

3201062400 is an abundant number, since it is smaller than the sum of its proper divisors (8579936544).

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

3201062400 is a wasteful number, since it uses less digits than its factorization.

3201062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3201062400 is about 56577.9320937059. The cubic root of 3201062400 is about 1473.7756612063.

Adding to 3201062400 its reverse (42601023), we get a palindrome (3243663423).

The spelling of 3201062400 in words is "three billion, two hundred one million, sixty-two thousand, four hundred".