3754199834000 has 640 divisors, whose sum is σ = 11569021820928. Its totient is φ = 1144416000000.

The previous prime is 3754199833913. The next prime is 3754199834003. The reversal of 3754199834000 is 4389914573.

It is not an unprimeable number, because it can be changed into a prime (3754199834003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1432352690 + ... + 1432355310.

Almost surely, 2^{3754199834000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3754199834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784510910464).

3754199834000 is an abundant number, since it is smaller than the sum of its proper divisors (7814821986928).

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

3754199834000 is a wasteful number, since it uses less digits than its factorization.

3754199834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 3754199834000 in words is "three trillion, seven hundred fifty-four billion, one hundred ninety-nine million, eight hundred thirty-four thousand".