3799687207680 has 1152 divisors, whose sum is σ = 16631161344000. Its totient is φ = 799957057536.

The previous prime is 3799687207663. The next prime is 3799687207681. The reversal of 3799687207680 is 867027869973.

3799687207680 is a `hidden beast` number, since 379 + 96 + 8 + 7 + 20 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3799687207599 and 3799687207608.

It is not an unprimeable number, because it can be changed into a prime (3799687207681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1883830032 + ... + 1883832048.

It is an arithmetic number, because the mean of its divisors is an integer number (14436772000).

Almost surely, 2^{3799687207680} is an apocalyptic number.

3799687207680 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 3799687207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315580672000).

3799687207680 is an abundant number, since it is smaller than the sum of its proper divisors (12831474136320).

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

3799687207680 is a wasteful number, since it uses less digits than its factorization.

3799687207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 3799687207680 in words is "three trillion, seven hundred ninety-nine billion, six hundred eighty-seven million, two hundred seven thousand, six hundred eighty".