3779368243200 has 1560 divisors, whose sum is σ = 15945247492416. Its totient is φ = 875888640000.

The previous prime is 3779368243061. The next prime is 3779368243229. The reversal of 3779368243200 is 23428639773.

3779368243200 is a `hidden beast` number, since 3 + 7 + 79 + 368 + 2 + 4 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2098482300 + ... + 2098484100.

Almost surely, 2^{3779368243200} is an apocalyptic number.

3779368243200 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 3779368243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972623746208).

3779368243200 is an abundant number, since it is smaller than the sum of its proper divisors (12165879249216).

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

3779368243200 is a wasteful number, since it uses less digits than its factorization.

3779368243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3779368243200 in words is "three trillion, seven hundred seventy-nine billion, three hundred sixty-eight million, two hundred forty-three thousand, two hundred".