3678854400 has 648 divisors, whose sum is σ = 15049583640. Its totient is φ = 852295680.

The previous prime is 3678854369. The next prime is 3678854441. The reversal of 3678854400 is 44588763.

3678854400 is a `hidden beast` number, since 36 + 78 + 8 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1452524544 + 2226329856 = 38112^2 + 47184^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 216403192 + ... + 216403208.

Almost surely, 2^3678854400 is an apocalyptic number.

3678854400 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 3678854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524791820).

3678854400 is an abundant number, since it is smaller than the sum of its proper divisors (11370729240).

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

3678854400 is a wasteful number, since it uses less digits than its factorization.

3678854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3678854400 is about 60653.5604890595. The cubic root of 3678854400 is about 1543.7283028416.

It can be divided in two parts, 36 and 78854400, that multiplied together give a square (2838758400 = 53280²).

The spelling of 3678854400 in words is "three billion, six hundred seventy-eight million, eight hundred fifty-four thousand, four hundred".