3287934000 has 240 divisors, whose sum is σ = 12367895904. Its totient is φ = 809280000.

The previous prime is 3287933989. The next prime is 3287934017. The reversal of 3287934000 is 4397823.

3287934000 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 (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226975 + ... + 241025.

Almost surely, 2^3287934000 is an apocalyptic number.

3287934000 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 3287934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183947952).

3287934000 is an abundant number, since it is smaller than the sum of its proper divisors (9079961904).

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

3287934000 is a wasteful number, since it uses less digits than its factorization.

3287934000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14093 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3287934000 is about 57340.5092408500. The cubic root of 3287934000 is about 1486.9887987516.

The spelling of 3287934000 in words is "three billion, two hundred eighty-seven million, nine hundred thirty-four thousand".