3404034000738 has 192 divisors, whose sum is σ = 8645753376000. Its totient is φ = 947972044800.

The previous prime is 3404034000671. The next prime is 3404034000781. The reversal of 3404034000738 is 8370004304043.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263892613 + ... + 263905511.

It is an arithmetic number, because the mean of its divisors is an integer number (45029965500).

Almost surely, 2^{3404034000738} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404034000738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322876688000).

3404034000738 is an abundant number, since it is smaller than the sum of its proper divisors (5241719375262).

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

3404034000738 is a wasteful number, since it uses less digits than its factorization.

3404034000738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13337 (or 13334 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 3404034000738 in words is "three trillion, four hundred four billion, thirty-four million, seven hundred thirty-eight", and thus it is an aban number.