3734034033408 has 432 divisors, whose sum is σ = 11668956606720. Its totient is φ = 1056900096000.

The previous prime is 3734034033407. The next prime is 3734034033503. The reversal of 3734034033408 is 8043304304373.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3734034033408.

It is not an unprimeable number, because it can be changed into a prime (3734034033407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2892357243 + ... + 2892358533.

Almost surely, 2^{3734034033408} 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 3734034033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834478303360).

3734034033408 is an abundant number, since it is smaller than the sum of its proper divisors (7934922573312).

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

3734034033408 is a wasteful number, since it uses less digits than its factorization.

3734034033408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 3734034033408 in words is "three trillion, seven hundred thirty-four billion, thirty-four million, thirty-three thousand, four hundred eight".