3283862400 has 864 divisors, whose sum is σ = 14761164600. Its totient is φ = 688988160.

The previous prime is 3283862371. The next prime is 3283862429. The reversal of 3283862400 is 42683823.

3283862400 is a `hidden beast` number, since 3 + 28 + 3 + 8 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3283862371) and next prime (3283862429).

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18345511 + ... + 18345689.

Almost surely, 2^3283862400 is an apocalyptic number.

3283862400 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 3283862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380582300).

3283862400 is an abundant number, since it is smaller than the sum of its proper divisors (11477302200).

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

3283862400 is a wasteful number, since it uses less digits than its factorization.

3283862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3283862400 is about 57304.9945467234. The cubic root of 3283862400 is about 1486.3747429878.

The spelling of 3283862400 in words is "three billion, two hundred eighty-three million, eight hundred sixty-two thousand, four hundred".