3678829056 has 240 divisors, whose sum is σ = 12669814080. Its totient is φ = 1050900480.

The previous prime is 3678829043. The next prime is 3678829069. The reversal of 3678829056 is 6509288763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3678829043) and next prime (3678829069).

It is a super-2 number, since 2×3678829056² = 27067566446539702272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3678828993 and 3678829011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674661 + ... + 680091.

It is an arithmetic number, because the mean of its divisors is an integer number (52790892).

Almost surely, 2^3678829056 is an apocalyptic number.

3678829056 is a gapful number since it is divisible by the number (36) 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 3678829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334907040).

3678829056 is an abundant number, since it is smaller than the sum of its proper divisors (8990985024).

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

3678829056 is an equidigital number, since it uses as much as digits as its factorization.

3678829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3678829056 is about 60653.3515644437. The cubic root of 3678829056 is about 1543.7247578666.

The spelling of 3678829056 in words is "three billion, six hundred seventy-eight million, eight hundred twenty-nine thousand, fifty-six".