3734404034000 has 80 divisors (see below), whose sum is σ = 9042351252480. Its totient is φ = 1491683484800.

The previous prime is 3734404033999. The next prime is 3734404034033. The reversal of 3734404034000 is 4304044373.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3734404034000³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139529 + ... + 2736471.

It is an arithmetic number, because the mean of its divisors is an integer number (113029390656).

Almost surely, 2^{3734404034000} 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 3734404034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521175626240).

3734404034000 is an abundant number, since it is smaller than the sum of its proper divisors (5307947218480).

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

3734404034000 is a wasteful number, since it uses less digits than its factorization.

3734404034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597685 (or 2597669 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 32.

Adding to 3734404034000 its reverse (4304044373), we get a palindrome (3738708078373).

The spelling of 3734404034000 in words is "three trillion, seven hundred thirty-four billion, four hundred four million, thirty-four thousand".