3835918080000 has 960 divisors, whose sum is σ = 15036633612000. Its totient is φ = 962592768000.

The previous prime is 3835918079957. The next prime is 3835918080023. The reversal of 3835918080000 is 808195383.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 587516736 + ... + 587523264.

Almost surely, 2^{3835918080000} is an apocalyptic number.

3835918080000 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 3835918080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518316806000).

3835918080000 is an abundant number, since it is smaller than the sum of its proper divisors (11200715532000).

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

3835918080000 is an equidigital number, since it uses as much as digits as its factorization.

3835918080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 3835918080000 in words is "three trillion, eight hundred thirty-five billion, nine hundred eighteen million, eighty thousand".