3678600420 has 240 divisors, whose sum is σ = 13330614528. Its totient is φ = 839255040.

The previous prime is 3678600413. The next prime is 3678600433. The reversal of 3678600420 is 240068763.

3678600420 is a `hidden beast` number, since 3 + 6 + 7 + 8 + 600 + 42 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 296869 + ... + 309011.

Almost surely, 2^3678600420 is an apocalyptic number.

3678600420 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 3678600420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665307264).

3678600420 is an abundant number, since it is smaller than the sum of its proper divisors (9652014108).

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

3678600420 is a wasteful number, since it uses less digits than its factorization.

3678600420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192 (or 12181 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3678600420 is about 60651.4667588509. The cubic root of 3678600420 is about 1543.6927768241.

The spelling of 3678600420 in words is "three billion, six hundred seventy-eight million, six hundred thousand, four hundred twenty".