3678898263040 has 352 divisors, whose sum is σ = 11849027468544. Its totient is φ = 1058462760960.

The previous prime is 3678898263031. The next prime is 3678898263059. The reversal of 3678898263040 is 403628988763.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4766212 + ... + 5484028.

Almost surely, 2^{3678898263040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678898263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924513734272).

3678898263040 is an abundant number, since it is smaller than the sum of its proper divisors (8170129205504).

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

3678898263040 is a wasteful number, since it uses less digits than its factorization.

3678898263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717873 (or 717855 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 64.

The spelling of 3678898263040 in words is "three trillion, six hundred seventy-eight billion, eight hundred ninety-eight million, two hundred sixty-three thousand, forty".