3200486400 has 396 divisors, whose sum is σ = 11879150400. Its totient is φ = 822312960.

The previous prime is 3200486339. The next prime is 3200486437. The reversal of 3200486400 is 46840023.

It is a super-2 number, since 2×3200486400² = 20486226393169920000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 6681361 + ... + 6681839.

Almost surely, 2^3200486400 is an apocalyptic number.

3200486400 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 3200486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939575200).

3200486400 is an abundant number, since it is smaller than the sum of its proper divisors (8678664000).

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

3200486400 is a wasteful number, since it uses less digits than its factorization.

3200486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3200486400 is about 56572.8415407959. The cubic root of 3200486400 is about 1473.6872587119.

The spelling of 3200486400 in words is "three billion, two hundred million, four hundred eighty-six thousand, four hundred".