3799880229600 has 3456 divisors, whose sum is σ = 18191555665920. Its totient is φ = 756946944000.

The previous prime is 3799880229589. The next prime is 3799880229601. The reversal of 3799880229600 is 69220889973.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3799880229601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 92680005580 + ... + 92680005620.

It is an arithmetic number, because the mean of its divisors is an integer number (5263760320).

Almost surely, 2^{3799880229600} is an apocalyptic number.

3799880229600 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 3799880229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9095777832960).

3799880229600 is an abundant number, since it is smaller than the sum of its proper divisors (14391675436320).

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

3799880229600 is a wasteful number, since it uses less digits than its factorization.

3799880229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 3799880229600 in words is "three trillion, seven hundred ninety-nine billion, eight hundred eighty million, two hundred twenty-nine thousand, six hundred".