3678957450 has 288 divisors, whose sum is σ = 11699715456. Its totient is φ = 811399680.

The previous prime is 3678957419. The next prime is 3678957481. The reversal of 3678957450 is 547598763.

3678957450 is a `hidden beast` number, since 3 + 67 + 8 + 9 + 574 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3678957419) and next prime (3678957481).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21265564 + ... + 21265736.

It is an arithmetic number, because the mean of its divisors is an integer number (40624012).

Almost surely, 2^3678957450 is an apocalyptic number.

3678957450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678957450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849857728).

3678957450 is an abundant number, since it is smaller than the sum of its proper divisors (8020758006).

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

3678957450 is a wasteful number, since it uses less digits than its factorization.

3678957450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3678957450 is about 60654.4099798193. The cubic root of 3678957450 is about 1543.7427167233.

The spelling of 3678957450 in words is "three billion, six hundred seventy-eight million, nine hundred fifty-seven thousand, four hundred fifty".