3683910048000 has 2304 divisors, whose sum is σ = 15871325503488. Its totient is φ = 736542720000.

The previous prime is 3683910047999. The next prime is 3683910048017. The reversal of 3683910048000 is 8400193863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16519775889 + ... + 16519776111.

Almost surely, 2^{3683910048000} is an apocalyptic number.

3683910048000 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 3683910048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7935662751744).

3683910048000 is an abundant number, since it is smaller than the sum of its proper divisors (12187415455488).

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

3683910048000 is a wasteful number, since it uses less digits than its factorization.

3683910048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 3683910048000 in words is "three trillion, six hundred eighty-three billion, nine hundred ten million, forty-eight thousand".