3678998429700 has 1080 divisors, whose sum is σ = 14245863484160. Its totient is φ = 817553088000.

The previous prime is 3678998429677. The next prime is 3678998429707. The reversal of 3678998429700 is 79248998763.

3678998429700 is a `hidden beast` number, since 36 + 7 + 89 + 98 + 429 + 7 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678998429707) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 577275714 + ... + 577282086.

Almost surely, 2^{3678998429700} is an apocalyptic number.

3678998429700 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 3678998429700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122931742080).

3678998429700 is an abundant number, since it is smaller than the sum of its proper divisors (10566865054460).

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

3678998429700 is a wasteful number, since it uses less digits than its factorization.

3678998429700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6471 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

It can be divided in two parts, 36789 and 98429700, that added together give a palindrome (98466489).

The spelling of 3678998429700 in words is "three trillion, six hundred seventy-eight billion, nine hundred ninety-eight million, four hundred twenty-nine thousand, seven hundred".