3685478400 has 624 divisors, whose sum is σ = 14300830720. Its totient is φ = 928972800.

The previous prime is 3685478371. The next prime is 3685478449. The reversal of 3685478400 is 48745863.

3685478400 is a `hidden beast` number, since 3 + 68 + 547 + 8 + 40 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 85708779 + ... + 85708821.

Almost surely, 2^3685478400 is an apocalyptic number.

3685478400 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 3685478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150415360).

3685478400 is an abundant number, since it is smaller than the sum of its proper divisors (10615352320).

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

3685478400 is a wasteful number, since it uses less digits than its factorization.

3685478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

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

The square root of 3685478400 is about 60708.1411344475. The cubic root of 3685478400 is about 1544.6542727219.

The spelling of 3685478400 in words is "three billion, six hundred eighty-five million, four hundred seventy-eight thousand, four hundred".