3278134800 has 600 divisors, whose sum is σ = 12658814784. Its totient is φ = 810501120.

The previous prime is 3278134781. The next prime is 3278134801. The reversal of 3278134800 is 84318723.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (3278134801) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 39495559 + ... + 39495641.

Almost surely, 2^3278134800 is an apocalyptic number.

3278134800 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 3278134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329407392).

3278134800 is an abundant number, since it is smaller than the sum of its proper divisors (9380679984).

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

3278134800 is a wasteful number, since it uses less digits than its factorization.

3278134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3278134800 is about 57254.9980351061. The cubic root of 3278134800 is about 1485.5100788300.

The spelling of 3278134800 in words is "three billion, two hundred seventy-eight million, one hundred thirty-four thousand, eight hundred".