3680947433800 has 576 divisors, whose sum is σ = 11135377290240. Its totient is φ = 1120428288000.

The previous prime is 3680947433791. The next prime is 3680947433819. The reversal of 3680947433800 is 83347490863.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 659547010 + ... + 659552590.

It is an arithmetic number, because the mean of its divisors is an integer number (19332252240).

Almost surely, 2^{3680947433800} 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 3680947433800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567688645120).

3680947433800 is an abundant number, since it is smaller than the sum of its proper divisors (7454429856440).

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

3680947433800 is a wasteful number, since it uses less digits than its factorization.

3680947433800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 3680947433800 in words is "three trillion, six hundred eighty billion, nine hundred forty-seven million, four hundred thirty-three thousand, eight hundred".