3919009770000 has 800 divisors, whose sum is σ = 15626809820160. Its totient is φ = 933534720000.

The previous prime is 3919009769977. The next prime is 3919009770017. The reversal of 3919009770000 is 779009193.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108791992 + ... + 108828008.

Almost surely, 2^{3919009770000} is an apocalyptic number.

3919009770000 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 3919009770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813404910080).

3919009770000 is an abundant number, since it is smaller than the sum of its proper divisors (11707800050160).

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

3919009770000 is a wasteful number, since it uses less digits than its factorization.

3919009770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36098 (or 36071 counting only the distinct ones).

The product of its (nonzero) digits is 107163, while the sum is 45.

The spelling of 3919009770000 in words is "three trillion, nine hundred nineteen billion, nine million, seven hundred seventy thousand".