3781967118900 has 36 divisors (see below), whose sum is σ = 10942491531552. Its totient is φ = 1008524564960.

The previous prime is 3781967118871. The next prime is 3781967118911. The reversal of 3781967118900 is 98117691873.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6303278232 + ... + 6303278831.

Almost surely, 2^{3781967118900} is an apocalyptic number.

3781967118900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3781967118900 is an abundant number, since it is smaller than the sum of its proper divisors (7160524412652).

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

3781967118900 is a wasteful number, since it uses less digits than its factorization.

3781967118900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606557080 (or 12606557073 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 60.

The spelling of 3781967118900 in words is "three trillion, seven hundred eighty-one billion, nine hundred sixty-seven million, one hundred eighteen thousand, nine hundred".