3279974400 has 234 divisors, whose sum is σ = 11751463880. Its totient is φ = 874414080.

The previous prime is 3279974353. The next prime is 3279974471. The reversal of 3279974400 is 44799723.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 919821 + ... + 923379.

Almost surely, 2^3279974400 is an apocalyptic number.

3279974400 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 3279974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875731940).

3279974400 is an abundant number, since it is smaller than the sum of its proper divisors (8471489480).

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

3279974400 is a wasteful number, since it uses less digits than its factorization.

3279974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3279974400 is about 57271.0607549747. The cubic root of 3279974400 is about 1485.7879028047.

The spelling of 3279974400 in words is "three billion, two hundred seventy-nine million, nine hundred seventy-four thousand, four hundred".