3778980249600 has 576 divisors, whose sum is σ = 13577163818400. Its totient is φ = 1004737658880.

The previous prime is 3778980249563. The next prime is 3778980249613. The reversal of 3778980249600 is 69420898773.

3778980249600 is a `hidden beast` number, since 377 + 89 + 80 + 24 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3708517891 + ... + 3708518909.

Almost surely, 2^{3778980249600} is an apocalyptic number.

3778980249600 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 3778980249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788581909200).

3778980249600 is an abundant number, since it is smaller than the sum of its proper divisors (9798183568800).

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

3778980249600 is a wasteful number, since it uses less digits than its factorization.

3778980249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 3778980249600 in words is "three trillion, seven hundred seventy-eight billion, nine hundred eighty million, two hundred forty-nine thousand, six hundred".