3918278400 has 216 divisors, whose sum is σ = 13082131440. Its totient is φ = 1032683520.

The previous prime is 3918278341. The next prime is 3918278471. The reversal of 3918278400 is 48728193.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1707654 + ... + 1709946.

Almost surely, 2^3918278400 is an apocalyptic number.

3918278400 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 3918278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541065720).

3918278400 is an abundant number, since it is smaller than the sum of its proper divisors (9163853040).

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

3918278400 is a wasteful number, since it uses less digits than its factorization.

3918278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 3918278400 is about 62596.1532364410. The cubic root of 3918278400 is about 1576.5161716363.

The spelling of 3918278400 in words is "three billion, nine hundred eighteen million, two hundred seventy-eight thousand, four hundred".